37945125 has 32 divisors (see below), whose sum is σ = 70162560. Its totient is φ = 20235600.

The previous prime is 37945123. The next prime is 37945129. The reversal of 37945125 is 52154973.

It is not a de Polignac number, because 37945125 - 2¹ = 37945123 is a prime.

It is a super-2 number, since 2×37945125² = 2879665022531250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37945125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37945123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2247 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (2192580).

Almost surely, 2^37945125 is an apocalyptic number.

It is an amenable number.

37945125 is a deficient number, since it is larger than the sum of its proper divisors (32217435).

37945125 is a wasteful number, since it uses less digits than its factorization.

37945125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11251 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 37945125 is about 6159.9614446845. The cubic root of 37945125 is about 336.0356307878.

The spelling of 37945125 in words is "thirty-seven million, nine hundred forty-five thousand, one hundred twenty-five".