165916517 has 16 divisors (see below), whose sum is σ = 182004480. Its totient is φ = 150325632.

The previous prime is 165916477. The next prime is 165916519. The reversal of 165916517 is 715619561.

It is a cyclic number.

It is not a de Polignac number, because 165916517 - 2²⁴ = 149139301 is a prime.

It is a super-2 number, since 2×165916517² = 55056581226822578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165916519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340448 + ... + 340934.

It is an arithmetic number, because the mean of its divisors is an integer number (11375280).

Almost surely, 2^165916517 is an apocalyptic number.

It is an amenable number.

165916517 is a deficient number, since it is larger than the sum of its proper divisors (16087963).

165916517 is a wasteful number, since it uses less digits than its factorization.

165916517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its digits is 56700, while the sum is 41.

The square root of 165916517 is about 12880.8585505781. The cubic root of 165916517 is about 549.4943197837.

The spelling of 165916517 in words is "one hundred sixty-five million, nine hundred sixteen thousand, five hundred seventeen".