37988 has 6 divisors (see below), whose sum is σ = 66486. Its totient is φ = 18992.

The previous prime is 37987. The next prime is 37991. The reversal of 37988 is 88973.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 14884 = 152^2 + 122^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4745 + ... + 4752.

It is an arithmetic number, because the mean of its divisors is an integer number (11081).

2³⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

37988 is a deficient number, since it is larger than the sum of its proper divisors (28498).

37988 is a wasteful number, since it uses less digits than its factorization.

37988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9499 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 37988 is about 194.9051051153. The cubic root of 37988 is about 33.6162147739.

The spelling of 37988 in words is "thirty-seven thousand, nine hundred eighty-eight".