165931 has 2 divisors, whose sum is σ = 165932. Its totient is φ = 165930.

The previous prime is 165901. The next prime is 165941. The reversal of 165931 is 139561.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 165931 - 2¹¹ = 163883 is a prime.

It is a super-2 number, since 2×165931² = 55066193522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165896 and 165905.

It is not a weakly prime, because it can be changed into another prime (165901) 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, 82965 + 82966.

It is an arithmetic number, because the mean of its divisors is an integer number (82966).

2¹⁶⁵⁹³¹ is an apocalyptic number.

165931 is a deficient number, since it is larger than the sum of its proper divisors (1).

165931 is an equidigital number, since it uses as much as digits as its factorization.

165931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 25.

The square root of 165931 is about 407.3462900285. The cubic root of 165931 is about 54.9510307934.

The spelling of 165931 in words is "one hundred sixty-five thousand, nine hundred thirty-one".