5137 has 4 divisors (see below), whose sum is σ = 5616. Its totient is φ = 4660.

The previous prime is 5119. The next prime is 5147. The reversal of 5137 is 7315.

5137 is nontrivially palindromic in base 8.

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.

It is a cyclic number.

It is not a de Polignac number, because 5137 - 2⁷ = 5009 is a prime.

It is a Duffinian number.

5137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5137.

It is not an unprimeable number, because it can be changed into a prime (5107) 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, 223 + ... + 244.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

2⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

5137 is a deficient number, since it is larger than the sum of its proper divisors (479).

5137 is a wasteful number, since it uses less digits than its factorization.

5137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its digits is 105, while the sum is 16.

The square root of 5137 is about 71.6728679488. The cubic root of 5137 is about 17.2545321705.

It can be divided in two parts, 51 and 37, that added together give a palindrome (88).

The spelling of 5137 in words is "five thousand, one hundred thirty-seven".