164238165 has 128 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 66769920.

The previous prime is 164238157. The next prime is 164238233. The reversal of 164238165 is 561832461.

164238165 = 463² + 464² + ... + 839².

It is a happy number.

164238165 is a `hidden beast` number, since 1 + 642 + 3 + 8 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 164238165 - 2³ = 164238157 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 127 ways as a sum of consecutive naturals, for example, 356035 + ... + 356495.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^164238165 is an apocalyptic number.

164238165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164238165 is an abundant number, since it is smaller than the sum of its proper divisors (208318635).

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

164238165 is a wasteful number, since it uses less digits than its factorization.

164238165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164238165 is about 12815.5438823329. The cubic root of 164238165 is about 547.6352077405.

The spelling of 164238165 in words is "one hundred sixty-four million, two hundred thirty-eight thousand, one hundred sixty-five".