313580091 has 48 divisors (see below), whose sum is σ = 487226880. Its totient is φ = 179225200.

The previous prime is 313580087. The next prime is 313580093. The reversal of 313580091 is 190085313.

It is a happy number.

It is not a de Polignac number, because 313580091 - 2² = 313580087 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313580093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4416586 + ... + 4416656.

It is an arithmetic number, because the mean of its divisors is an integer number (10150560).

Almost surely, 2^313580091 is an apocalyptic number.

313580091 is a deficient number, since it is larger than the sum of its proper divisors (173646789).

313580091 is an equidigital number, since it uses as much as digits as its factorization.

313580091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 313580091 is about 17708.1927649323. The cubic root of 313580091 is about 679.3853232874.

The spelling of 313580091 in words is "three hundred thirteen million, five hundred eighty thousand, ninety-one".