37687321 has 9 divisors (see below), whose sum is σ = 43890399. Its totient is φ = 32266584.

The previous prime is 37687319. The next prime is 37687337. The reversal of 37687321 is 12378673.

The square root of 37687321 is 6139.

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

It can be written as a sum of positive squares in only one way, i.e., 31753225 + 5934096 = 5635^2 + 2436^2 .

It is not a de Polignac number, because 37687321 - 2¹ = 37687319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37687301) 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 8 ways as a sum of consecutive naturals, for example, 42535 + ... + 43411.

It is an arithmetic number, because the mean of its divisors is an integer number (4876711).

Almost surely, 2^37687321 is an apocalyptic number.

37687321 is the 6139-th square number.

37687321 is the 3070-th centered octagonal number.

It is an amenable number.

37687321 is a deficient number, since it is larger than the sum of its proper divisors (6203078).

37687321 is an frugal number, since it uses more digits than its factorization.

37687321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 884 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The cubic root of 37687321 is about 335.2728778349.

The spelling of 37687321 in words is "thirty-seven million, six hundred eighty-seven thousand, three hundred twenty-one".