164642625 has 160 divisors (see below), whose sum is σ = 369667584. Its totient is φ = 71280000.

The previous prime is 164642617. The next prime is 164642629. The reversal of 164642625 is 526246461.

164642625 is a `hidden beast` number, since 1 + 6 + 4 + 642 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 164642625 - 2³ = 164642617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164642625.

It is not an unprimeable number, because it can be changed into a prime (164642629) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1630075 + ... + 1630175.

Almost surely, 2^164642625 is an apocalyptic number.

164642625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164642625 is an abundant number, since it is smaller than the sum of its proper divisors (205024959).

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

164642625 is a wasteful number, since it uses less digits than its factorization.

164642625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164642625 is about 12831.3142351047. The cubic root of 164642625 is about 548.0843825961.

The spelling of 164642625 in words is "one hundred sixty-four million, six hundred forty-two thousand, six hundred twenty-five".