165957131 has 2 divisors, whose sum is σ = 165957132. Its totient is φ = 165957130.

The previous prime is 165957119. The next prime is 165957137. The reversal of 165957131 is 131759561.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 165957131 - 2¹⁸ = 165694987 is a prime.

It is a super-2 number, since 2×165957131² = 55083538659502322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (165957137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82978565 + 82978566.

It is an arithmetic number, because the mean of its divisors is an integer number (82978566).

Almost surely, 2^165957131 is an apocalyptic number.

165957131 is a deficient number, since it is larger than the sum of its proper divisors (1).

165957131 is an equidigital number, since it uses as much as digits as its factorization.

165957131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28350, while the sum is 38.

The square root of 165957131 is about 12882.4349794594. The cubic root of 165957131 is about 549.5391522532.

The spelling of 165957131 in words is "one hundred sixty-five million, nine hundred fifty-seven thousand, one hundred thirty-one".