165915 has 16 divisors (see below), whose sum is σ = 295200. Its totient is φ = 88416.

The previous prime is 165901. The next prime is 165931. The reversal of 165915 is 519561.

165915 is a `hidden beast` number, since 1 + 659 + 1 + 5 = 666.

It is not a de Polignac number, because 165915 - 2⁵ = 165883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

165915 is a lucky number.

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 15 ways as a sum of consecutive naturals, for example, 480 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2¹⁶⁵⁹¹⁵ is an apocalyptic number.

165915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165915 is a deficient number, since it is larger than the sum of its proper divisors (129285).

165915 is a wasteful number, since it uses less digits than its factorization.

165915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 165915 is about 407.3266502452. The cubic root of 165915 is about 54.9492645075.

It can be divided in two parts, 165 and 915, that multiplied together give a triangular number (150975 = T₅₄₉).

The spelling of 165915 in words is "one hundred sixty-five thousand, nine hundred fifteen".