313089 has 16 divisors (see below), whose sum is σ = 505728. Its totient is φ = 168192.

The previous prime is 313087. The next prime is 313109. The reversal of 313089 is 980313.

It is not a de Polignac number, because 313089 - 2¹ = 313087 is a prime.

313089 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (313081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (31608).

2³¹³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

313089 is a deficient number, since it is larger than the sum of its proper divisors (192639).

313089 is a wasteful number, since it uses less digits than its factorization.

313089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 313089 is about 559.5435639876. The cubic root of 313089 is about 67.9030481098.

It can be divided in two parts, 31 and 3089, that multiplied together give a palindrome (95759).

The spelling of 313089 in words is "three hundred thirteen thousand, eighty-nine".