37881 has 16 divisors (see below), whose sum is σ = 59520. Its totient is φ = 23760.

The previous prime is 37879. The next prime is 37889. The reversal of 37881 is 18873.

It is not a de Polignac number, because 37881 - 2¹ = 37879 is a prime.

It is a super-2 number, since 2×37881² = 2869940322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (37889) 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, 591 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2³⁷⁸⁸¹ is an apocalyptic number.

It is an amenable number.

37881 is a deficient number, since it is larger than the sum of its proper divisors (21639).

37881 is a wasteful number, since it uses less digits than its factorization.

With its successor (37882) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (93).

37881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 37881 is about 194.6304189997. The cubic root of 37881 is about 33.5846230659.

The spelling of 37881 in words is "thirty-seven thousand, eight hundred eighty-one".