37985 has 8 divisors (see below), whose sum is σ = 46656. Its totient is φ = 29680.

The previous prime is 37967. The next prime is 37987. The reversal of 37985 is 58973.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37985 - 2¹² = 33889 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

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 in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2³⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

37985 is a deficient number, since it is larger than the sum of its proper divisors (8671).

37985 is a wasteful number, since it uses less digits than its factorization.

37985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its digits is 7560, while the sum is 32.

The square root of 37985 is about 194.8974089104. The cubic root of 37985 is about 33.6153298340.

It can be divided in two parts, 379 and 85, that added together give a palindrome (464).

The spelling of 37985 in words is "thirty-seven thousand, nine hundred eighty-five".