83165516 has 48 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 33686400.

The previous prime is 83165501. The next prime is 83165531. The reversal of 83165516 is 61556138.

It is an interprime number because it is at equal distance from previous prime (83165501) and next prime (83165531).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56591 + ... + 58041.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^83165516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83165516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

83165516 is an abundant number, since it is smaller than the sum of its proper divisors (92468404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83165516 is a wasteful number, since it uses less digits than its factorization.

83165516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1572 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 83165516 is about 9119.5129255898. The cubic root of 83165516 is about 436.4968314408.

The spelling of 83165516 in words is "eighty-three million, one hundred sixty-five thousand, five hundred sixteen".