311320997 has 24 divisors (see below), whose sum is σ = 353012856. Its totient is φ = 272723328.

The previous prime is 311320991. The next prime is 311321011. The reversal of 311320997 is 799023113.

It can be written as a sum of positive squares in 4 ways, for example, as 129367876 + 181953121 = 11374^2 + 13489^2 .

It is not a de Polignac number, because 311320997 - 2⁴ = 311320981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311320991) 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, 1062383 + ... + 1062675.

It is an arithmetic number, because the mean of its divisors is an integer number (14708869).

Almost surely, 2^311320997 is an apocalyptic number.

311320997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

311320997 is a deficient number, since it is larger than the sum of its proper divisors (41691859).

311320997 is a wasteful number, since it uses less digits than its factorization.

311320997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 311320997 is about 17644.2907763390. The cubic root of 311320997 is about 677.7499135658.

The spelling of 311320997 in words is "three hundred eleven million, three hundred twenty thousand, nine hundred ninety-seven".