185913225 has 63 divisors (see below), whose sum is σ = 349096549. Its totient is φ = 98172000.

The previous prime is 185913199. The next prime is 185913269. The reversal of 185913225 is 522319581.

The square root of 185913225 is 13635.

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

185913225 is a `hidden beast` number, since 18 + 591 + 32 + 25 = 666.

185913225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 151585344 = 5859^2 + 12312^2 .

It is not a de Polignac number, because 185913225 - 2⁵ = 185913193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 185913225.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1840675 + ... + 1840775.

Almost surely, 2^185913225 is an apocalyptic number.

185913225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

185913225 is the 13635-th square number.

185913225 is the 6818-th centered octagonal number.

It is an amenable number.

185913225 is a deficient number, since it is larger than the sum of its proper divisors (163183324).

185913225 is an frugal number, since it uses more digits than its factorization.

185913225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The cubic root of 185913225 is about 570.7379638331.

Multiplying 185913225 by its sum of digits (36), we get a square (6692876100 = 81810²).

The spelling of 185913225 in words is "one hundred eighty-five million, nine hundred thirteen thousand, two hundred twenty-five".