312137 has 16 divisors (see below), whose sum is σ = 392832. Its totient is φ = 241920.

The previous prime is 312121. The next prime is 312161. The reversal of 312137 is 731213.

It is not a de Polignac number, because 312137 - 2⁴ = 312121 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312137.

It is not an unprimeable number, because it can be changed into a prime (312107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2³¹²¹³⁷ is an apocalyptic number.

It is an amenable number.

312137 is a deficient number, since it is larger than the sum of its proper divisors (80695).

312137 is a wasteful number, since it uses less digits than its factorization.

312137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

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

The square root of 312137 is about 558.6922229636. The cubic root of 312137 is about 67.8341546719.

The spelling of 312137 in words is "three hundred twelve thousand, one hundred thirty-seven".