3137 has 2 divisors, whose sum is σ = 3138. Its totient is φ = 3136.

The previous prime is 3121. The next prime is 3163. The reversal of 3137 is 7313.

It is a happy number.

It is a Cunningham number, because it is equal to 56²+1.

3137 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 1 = 56^2 + 1^2 .

3137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3137 - 2⁴ = 3121 is a prime.

It is a Chen prime.

It is equal to p₄₄₆ and since 3137 and 446 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3137.

It is not a weakly prime, because it can be changed into another prime (3167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568 + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (1569).

It is a Proth number, since it is equal to 49 ⋅ 2⁶ + 1 and 49 < 2⁶.

2³¹³⁷ is an apocalyptic number.

It is an amenable number.

3137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137 is an equidigital number, since it uses as much as digits as its factorization.

3137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63, while the sum is 14.

The square root of 3137 is about 56.0089278598. The cubic root of 3137 is about 14.6387785020.

The spelling of 3137 in words is "three thousand, one hundred thirty-seven".