6137 has 6 divisors (see below), whose sum is σ = 6858. Its totient is φ = 5472.

The previous prime is 6133. The next prime is 6143. The reversal of 6137 is 7316.

6137 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 361 = 76^2 + 19^2 .

It is not a de Polignac number, because 6137 - 2² = 6133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (6131) 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, 314 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (1143).

2⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

6137 is a deficient number, since it is larger than the sum of its proper divisors (721).

6137 is a wasteful number, since it uses less digits than its factorization.

6137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 6137 is about 78.3390068867. The cubic root of 6137 is about 18.3084695087.

Multiplying 6137 by its sum of digits (17), we get a square (104329 = 323²).

6137 divided by its sum of digits (17) gives a square (361 = 19²).

The spelling of 6137 in words is "six thousand, one hundred thirty-seven".