37890625 has 18 divisors (see below), whose sum is σ = 47851538. Its totient is φ = 30000000.

The previous prime is 37890607. The next prime is 37890679. The reversal of 37890625 is 52609873.

It can be written as a sum of positive squares in 9 ways, for example, as 11553201 + 26337424 = 3399^2 + 5132^2 .

It is not a de Polignac number, because 37890625 - 2⁹ = 37890113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 390577 + ... + 390673.

Almost surely, 2^37890625 is an apocalyptic number.

It is an amenable number.

37890625 is a deficient number, since it is larger than the sum of its proper divisors (9960913).

37890625 is an frugal number, since it uses more digits than its factorization.

37890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 37890625 is about 6155.5361261226. The cubic root of 37890625 is about 335.8746727649.

The spelling of 37890625 in words is "thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".