36905625 has 55 divisors (see below), whose sum is σ = 69175513. Its totient is φ = 19683000.

The previous prime is 36905611. The next prime is 36905629. The reversal of 36905625 is 52650963.

The square root of 36905625 is 6075.

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

36905625 is a `hidden beast` number, since 3 + 6 + 90 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2893401 + 34012224 = 1701^2 + 5832^2 .

It is not a de Polignac number, because 36905625 - 2¹³ = 36897433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 36905625.

It is not an unprimeable number, because it can be changed into a prime (36905629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 7381123 + ... + 7381127.

Almost surely, 2^36905625 is an apocalyptic number.

36905625 is the 6075-th square number.

36905625 is the 3038-th centered octagonal number.

It is an amenable number.

36905625 is a deficient number, since it is larger than the sum of its proper divisors (32269888).

36905625 is an frugal number, since it uses more digits than its factorization.

36905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 36905625 is about 332.9386300346.

Multiplying 36905625 by its sum of digits (36), we get a square (1328602500 = 36450²).

Multiplying 36905625 by its product of nonzero digits (48600), we get a cube (1793613375000 = 12150³).

The spelling of 36905625 in words is "thirty-six million, nine hundred five thousand, six hundred twenty-five".