164625025 has 72 divisors (see below), whose sum is σ = 242361720. Its totient is φ = 110315520.

The previous prime is 164625023. The next prime is 164625029. The reversal of 164625025 is 520526461.

It can be written as a sum of positive squares in 12 ways, for example, as 3538161 + 161086864 = 1881^2 + 12692^2 .

It is not a de Polignac number, because 164625025 - 2¹ = 164625023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164625023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4449307 + ... + 4449343.

It is an arithmetic number, because the mean of its divisors is an integer number (3366135).

Almost surely, 2^164625025 is an apocalyptic number.

It is an amenable number.

164625025 is a deficient number, since it is larger than the sum of its proper divisors (77736695).

164625025 is a wasteful number, since it uses less digits than its factorization.

164625025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 164625025 is about 12830.6283945877. The cubic root of 164625025 is about 548.0648521558.

The spelling of 164625025 in words is "one hundred sixty-four million, six hundred twenty-five thousand, twenty-five".