37895 has 16 divisors (see below), whose sum is σ = 54432. Its totient is φ = 24960.

The previous prime is 37889. The next prime is 37897. The reversal of 37895 is 59873.

It is not a de Polignac number, because 37895 - 2⁴ = 37879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2³⁷⁸⁹⁵ is an apocalyptic number.

37895 is a deficient number, since it is larger than the sum of its proper divisors (16537).

37895 is a wasteful number, since it uses less digits than its factorization.

37895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

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

The square root of 37895 is about 194.6663812783. Note that the first 3 decimals coincide. The cubic root of 37895 is about 33.5887599403.

The spelling of 37895 in words is "thirty-seven thousand, eight hundred ninety-five".