1016 has 8 divisors (see below), whose sum is σ = 1920. Its totient is φ = 504.

The previous prime is 1013. The next prime is 1019. The reversal of 1016 is 6101.

1016 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (1013) and next prime (1019).

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 127 = 1016 / (1 + 0 + 1 + 6).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 2, base 4 and base 11.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 994 and 1012.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1016.

It is not an unprimeable number, because it can be changed into a prime (1013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

It is an amenable number.

1016 is a deficient number, since it is larger than the sum of its proper divisors (904).

1016 is a wasteful number, since it uses less digits than its factorization.

1016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1016 is about 31.8747549010. The cubic root of 1016 is about 10.0530513906.

Adding to 1016 its reverse (6101), we get a palindrome (7117).

It can be divided in two parts, 101 and 6, that multiplied together give a palindrome (606).

The spelling of 1016 in words is "one thousand, sixteen".

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