164657025 has 72 divisors (see below), whose sum is σ = 325588536. Its totient is φ = 79027200.

The previous prime is 164656991. The next prime is 164657033. The reversal of 164657025 is 520756461.

It is a happy number.

164657025 is a `hidden beast` number, since 1 + 64 + 6 + 570 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 64016001 + 100641024 = 8001^2 + 10032^2 .

It is not a de Polignac number, because 164657025 - 2⁸ = 164656769 is a prime.

It is a super-2 number, since 2×164657025² = 54223871763701250, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 119239 + ... + 120611.

It is an arithmetic number, because the mean of its divisors is an integer number (4522063).

Almost surely, 2^164657025 is an apocalyptic number.

164657025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164657025 is a deficient number, since it is larger than the sum of its proper divisors (160931511).

164657025 is a wasteful number, since it uses less digits than its factorization.

164657025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

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

The square root of 164657025 is about 12831.8753500804. The cubic root of 164657025 is about 548.1003610120.

The spelling of 164657025 in words is "one hundred sixty-four million, six hundred fifty-seven thousand, twenty-five".