164724525 has 108 divisors (see below), whose sum is σ = 349894272. Its totient is φ = 73846080.

The previous prime is 164724517. The next prime is 164724569. The reversal of 164724525 is 525427461.

It is a happy number.

164724525 is a `hidden beast` number, since 1 + 64 + 72 + 4 + 525 = 666.

It is not a de Polignac number, because 164724525 - 2³ = 164724517 is a prime.

Its product of digits (67200) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 164724525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 738564 + ... + 738786.

Almost surely, 2^164724525 is an apocalyptic number.

164724525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164724525 is an abundant number, since it is smaller than the sum of its proper divisors (185169747).

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

164724525 is a wasteful number, since it uses less digits than its factorization.

164724525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 164724525 is about 12834.5052495217. The cubic root of 164724525 is about 548.1752474211.

The spelling of 164724525 in words is "one hundred sixty-four million, seven hundred twenty-four thousand, five hundred twenty-five".