37045125 has 96 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 17049600.

The previous prime is 37045123. The next prime is 37045139. The reversal of 37045125 is 52154073.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 33663204 + 3381921 = 5802^2 + 1839^2 .

It is not a de Polignac number, because 37045125 - 2¹ = 37045123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37045121) 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 95 ways as a sum of consecutive naturals, for example, 248551 + ... + 248699.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^37045125 is an apocalyptic number.

It is an amenable number.

37045125 is an abundant number, since it is smaller than the sum of its proper divisors (39613275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37045125 is a wasteful number, since it uses less digits than its factorization.

37045125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 37045125 is about 6086.4706521925. The cubic root of 37045125 is about 333.3575954562.

Adding to 37045125 its reverse (52154073), we get a palindrome (89199198).

The spelling of 37045125 in words is "thirty-seven million, forty-five thousand, one hundred twenty-five".