37389 has 12 divisors (see below), whose sum is σ = 55328. Its totient is φ = 22440.

The previous prime is 37379. The next prime is 37397. The reversal of 37389 is 98373.

It is not a de Polignac number, because 37389 - 2⁵ = 37357 is a prime.

It is a Duffinian number.

It is a Curzon number.

37389 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 414.

2³⁷³⁸⁹ is an apocalyptic number.

It is an amenable number.

37389 is a deficient number, since it is larger than the sum of its proper divisors (17939).

37389 is a wasteful number, since it uses less digits than its factorization.

37389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 37389 is about 193.3623541437. The cubic root of 37389 is about 33.4385895065.

The spelling of 37389 in words is "thirty-seven thousand, three hundred eighty-nine".