165956919 has 16 divisors (see below), whose sum is σ = 228802560. Its totient is φ = 106886880.

The previous prime is 165956863. The next prime is 165956993. The reversal of 165956919 is 919659561.

It is a happy number.

It is not a de Polignac number, because 165956919 - 2⁹ = 165956407 is a prime.

It is a super-2 number, since 2×165956919² = 55083397927945122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165956519) 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, 73002 + ... + 75240.

It is an arithmetic number, because the mean of its divisors is an integer number (14300160).

Almost surely, 2^165956919 is an apocalyptic number.

165956919 is a deficient number, since it is larger than the sum of its proper divisors (62845641).

165956919 is a wasteful number, since it uses less digits than its factorization.

165956919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070.

The product of its digits is 656100, while the sum is 51.

The square root of 165956919 is about 12882.4267511987. The cubic root of 165956919 is about 549.5389182523.

The spelling of 165956919 in words is "one hundred sixty-five million, nine hundred fifty-six thousand, nine hundred nineteen".