165258 has 12 divisors (see below), whose sum is σ = 358098. Its totient is φ = 55080.

The previous prime is 165247. The next prime is 165287. The reversal of 165258 is 852561.

165258 is a `hidden beast` number, since 1 + 652 + 5 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 33489 = 363^2 + 183^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165258.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 4573 + ... + 4608.

2¹⁶⁵²⁵⁸ is an apocalyptic number.

165258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

165258 is an abundant number, since it is smaller than the sum of its proper divisors (192840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165258 is a wasteful number, since it uses less digits than its factorization.

165258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9186 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 165258 is about 406.5193722321. The cubic root of 165258 is about 54.8766381137.

The spelling of 165258 in words is "one hundred sixty-five thousand, two hundred fifty-eight".