311157 has 24 divisors (see below), whose sum is σ = 561600. Its totient is φ = 161280.

The previous prime is 311153. The next prime is 311173. The reversal of 311157 is 751113.

It is a happy number.

It is not a de Polignac number, because 311157 - 2² = 311153 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2³¹¹¹⁵⁷ is an apocalyptic number.

It is an amenable number.

311157 is a deficient number, since it is larger than the sum of its proper divisors (250443).

311157 is a wasteful number, since it uses less digits than its factorization.

311157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 311157 is about 557.8144852906. The cubic root of 311157 is about 67.7630884786.

The spelling of 311157 in words is "three hundred eleven thousand, one hundred fifty-seven".