185640625 has 21 divisors (see below), whose sum is σ = 234196221. Its totient is φ = 147150000.

The previous prime is 185640619. The next prime is 185640641. The reversal of 185640625 is 526046581.

The square root of 185640625 is 13625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 176544369 + 9096256 = 13287^2 + 3016^2 .

It is not a de Polignac number, because 185640625 - 2⁵ = 185640593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1703071 + ... + 1703179.

It is an arithmetic number, because the mean of its divisors is an integer number (11152201).

Almost surely, 2^185640625 is an apocalyptic number.

185640625 is the 13625-th square number.

185640625 is the 6813-rd centered octagonal number.

It is an amenable number.

185640625 is a deficient number, since it is larger than the sum of its proper divisors (48555596).

185640625 is an frugal number, since it uses more digits than its factorization.

185640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The cubic root of 185640625 is about 570.4588743573.

Multiplying 185640625 by its product of nonzero digits (57600), we get a square (10692900000000 = 3270000²).

The spelling of 185640625 in words is "one hundred eighty-five million, six hundred forty thousand, six hundred twenty-five".