164257065 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 71850240.

The previous prime is 164257063. The next prime is 164257069. The reversal of 164257065 is 560752461.

It is a happy number.

164257065 is a `hidden beast` number, since 1 + 642 + 5 + 7 + 0 + 6 + 5 = 666.

164257065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164257065 - 2¹ = 164257063 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164257061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1845541 + ... + 1845629.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^164257065 is an apocalyptic number.

164257065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164257065 is an abundant number, since it is smaller than the sum of its proper divisors (194268375).

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

164257065 is an equidigital number, since it uses as much as digits as its factorization.

164257065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 164257065 is about 12816.2812469140. The cubic root of 164257065 is about 547.6562136344.

The spelling of 164257065 in words is "one hundred sixty-four million, two hundred fifty-seven thousand, sixty-five".