37989 has 20 divisors (see below), whose sum is σ = 65824. Its totient is φ = 21384.

The previous prime is 37987. The next prime is 37991. The reversal of 37989 is 98973.

It is an interprime number because it is at equal distance from previous prime (37987) and next prime (37991).

It is not a de Polignac number, because 37989 - 2¹ = 37987 is a prime.

It is a Duffinian number.

It is a Curzon number.

37989 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37989.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 534 + ... + 600.

2³⁷⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

37989 is a deficient number, since it is larger than the sum of its proper divisors (27835).

37989 is an equidigital number, since it uses as much as digits as its factorization.

37989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 37989 is about 194.9076704494. The cubic root of 37989 is about 33.6165097436.

Adding to 37989 its sum of digits (36), we get a square (38025 = 195²).

The spelling of 37989 in words is "thirty-seven thousand, nine hundred eighty-nine".