165918031 has 2 divisors, whose sum is σ = 165918032. Its totient is φ = 165918030.

The previous prime is 165917957. The next prime is 165918043. The reversal of 165918031 is 130819561.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 165918031 - 2¹⁹ = 165393743 is a prime.

It is a super-2 number, since 2×165918031² = 55057586021833922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165918631) 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 as a sum of consecutive naturals, namely, 82959015 + 82959016.

It is an arithmetic number, because the mean of its divisors is an integer number (82959016).

Almost surely, 2^165918031 is an apocalyptic number.

165918031 is a deficient number, since it is larger than the sum of its proper divisors (1).

165918031 is an equidigital number, since it uses as much as digits as its factorization.

165918031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 165918031 is about 12880.9173198185. The cubic root of 165918031 is about 549.4959911702.

The spelling of 165918031 in words is "one hundred sixty-five million, nine hundred eighteen thousand, thirty-one".