164684625 has 64 divisors (see below), whose sum is σ = 320686080. Its totient is φ = 73483200.

The previous prime is 164684603. The next prime is 164684629. The reversal of 164684625 is 526486461.

It is not a de Polignac number, because 164684625 - 2⁶ = 164684561 is a prime.

It is a super-2 number, since 2×164684625² = 54242051422781250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164684629) 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 63 ways as a sum of consecutive naturals, for example, 112146 + ... + 113604.

It is an arithmetic number, because the mean of its divisors is an integer number (5010720).

Almost surely, 2^164684625 is an apocalyptic number.

164684625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164684625 is a deficient number, since it is larger than the sum of its proper divisors (156001455).

164684625 is a wasteful number, since it uses less digits than its factorization.

164684625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 164684625 is about 12832.9507518731. The cubic root of 164684625 is about 548.1309837055.

The spelling of 164684625 in words is "one hundred sixty-four million, six hundred eighty-four thousand, six hundred twenty-five".