165038961 has 16 divisors (see below), whose sum is σ = 230261760. Its totient is φ = 104947920.

The previous prime is 165038957. The next prime is 165038983. The reversal of 165038961 is 169830561.

It is not a de Polignac number, because 165038961 - 2² = 165038957 is a prime.

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

165038961 is a modest number, since divided by 38961 gives 165 as remainder.

It is not an unprimeable number, because it can be changed into a prime (165028961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22996 + ... + 29306.

It is an arithmetic number, because the mean of its divisors is an integer number (14391360).

Almost surely, 2^165038961 is an apocalyptic number.

It is an amenable number.

165038961 is a deficient number, since it is larger than the sum of its proper divisors (65222799).

165038961 is a wasteful number, since it uses less digits than its factorization.

165038961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 165038961 is about 12846.7490440189. The cubic root of 165038961 is about 548.5238222596.

The spelling of 165038961 in words is "one hundred sixty-five million, thirty-eight thousand, nine hundred sixty-one".