37873 has 6 divisors (see below), whose sum is σ = 41762. Its totient is φ = 34320.

The previous prime is 37871. The next prime is 37879.

37873 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 17424 = 143^2 + 132^2 .

It is not a de Polignac number, because 37873 - 2¹ = 37871 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36 + ... + 277.

2³⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

37873 is a deficient number, since it is larger than the sum of its proper divisors (3889).

37873 is a wasteful number, since it uses less digits than its factorization.

37873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 37873 is about 194.6098661425. The cubic root of 37873 is about 33.5822586801.

The spelling of 37873 in words is "thirty-seven thousand, eight hundred seventy-three".