37628125 has 12 divisors (see below), whose sum is σ = 47036052. Its totient is φ = 30100000.

The previous prime is 37628117. The next prime is 37628131. The reversal of 37628125 is 52182673.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29019769 + 8608356 = 5387^2 + 2934^2 .

It is not a de Polignac number, because 37628125 - 2³ = 37628117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2896 + ... + 9145.

It is an arithmetic number, because the mean of its divisors is an integer number (3919671).

Almost surely, 2^37628125 is an apocalyptic number.

It is an amenable number.

37628125 is a deficient number, since it is larger than the sum of its proper divisors (9407927).

37628125 is an frugal number, since it uses more digits than its factorization.

37628125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12046 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 37628125 is about 6134.1767988867. The cubic root of 37628125 is about 335.0972465876.

The spelling of 37628125 in words is "thirty-seven million, six hundred twenty-eight thousand, one hundred twenty-five".