8137 has 4 divisors (see below), whose sum is σ = 8320. Its totient is φ = 7956.

The previous prime is 8123. The next prime is 8147. The reversal of 8137 is 7318.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7318 = 2 ⋅3659.

It is a cyclic number.

It is not a de Polignac number, because 8137 - 2⁷ = 8009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (2080).

2⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

8137 is a deficient number, since it is larger than the sum of its proper divisors (183).

8137 is a wasteful number, since it uses less digits than its factorization.

8137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its digits is 168, while the sum is 19.

The square root of 8137 is about 90.2053213508. The cubic root of 8137 is about 20.1135210956.

Subtracting from 8137 its sum of digits (19), we obtain a palindrome (8118).

It can be divided in two parts, 813 and 7, that added together give a triangular number (820 = T₄₀).

The spelling of 8137 in words is "eight thousand, one hundred thirty-seven".