37638225 has 27 divisors (see below), whose sum is σ = 67579473. Its totient is φ = 20024640.

The previous prime is 37638197. The next prime is 37638233. The reversal of 37638225 is 52283673.

37638225 = 843² + 844² + ... + 892².

The square root of 37638225 is 6135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4322241 + 33315984 = 2079^2 + 5772^2 .

It is not a de Polignac number, because 37638225 - 2¹⁵ = 37605457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37638225.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 91821 + ... + 92229.

Almost surely, 2^37638225 is an apocalyptic number.

37638225 is the 6135-th square number.

37638225 is the 3068-th centered octagonal number.

It is an amenable number.

37638225 is a deficient number, since it is larger than the sum of its proper divisors (29941248).

37638225 is an equidigital number, since it uses as much as digits as its factorization.

37638225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 37638225 is about 335.1272257537.

Multiplying 37638225 by its sum of digits (36), we get a square (1354976100 = 36810²).

The spelling of 37638225 in words is "thirty-seven million, six hundred thirty-eight thousand, two hundred twenty-five".