37064 has 16 divisors (see below), whose sum is σ = 71820. Its totient is φ = 17920.

The previous prime is 37061. The next prime is 37087. The reversal of 37064 is 46073.

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 12100 = 158^2 + 110^2 .

37064 is an undulating number in base 15.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37064.

It is not an unprimeable number, because it can be changed into a prime (37061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 384.

2³⁷⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

37064 is a deficient number, since it is larger than the sum of its proper divisors (34756).

37064 is a wasteful number, since it uses less digits than its factorization.

37064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 37064 is about 192.5201288177. The cubic root of 37064 is about 33.3414202601.

Subtracting 37064 from its reverse (46073), we obtain a palindrome (9009).

It can be divided in two parts, 370 and 64, that added together give a palindrome (434).

The spelling of 37064 in words is "thirty-seven thousand, sixty-four".