37664145 has 24 divisors (see below), whose sum is σ = 66359592. Its totient is φ = 19756800.

The previous prime is 37664083. The next prime is 37664149. The reversal of 37664145 is 54146673.

It is a happy number.

37664145 is a `hidden beast` number, since 3 + 7 + 6 + 641 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 36978561 = 828^2 + 6081^2 .

It is not a de Polignac number, because 37664145 - 2¹⁴ = 37647761 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (37664149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4116 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2764983).

Almost surely, 2^37664145 is an apocalyptic number.

It is an amenable number.

37664145 is a deficient number, since it is larger than the sum of its proper divisors (28695447).

37664145 is a wasteful number, since it uses less digits than its factorization.

37664145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13790 counting only the distinct ones).

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

The square root of 37664145 is about 6137.1121058687. The cubic root of 37664145 is about 335.2041378507.

The spelling of 37664145 in words is "thirty-seven million, six hundred sixty-four thousand, one hundred forty-five".