313845 has 32 divisors (see below), whose sum is σ = 595200. Its totient is φ = 141120.

The previous prime is 313829. The next prime is 313849. The reversal of 313845 is 548313.

It is not a de Polignac number, because 313845 - 2⁴ = 313829 is a prime.

Its product of digits (1440) is a multiple of the sum of its prime factors (90).

313845 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313845.

It is not an unprimeable number, because it can be changed into a prime (313849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5115 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2³¹³⁸⁴⁵ is an apocalyptic number.

313845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313845 is a deficient number, since it is larger than the sum of its proper divisors (281355).

313845 is an equidigital number, since it uses as much as digits as its factorization.

313845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 313845 is about 560.2187072921. The cubic root of 313845 is about 67.9576581847.

The spelling of 313845 in words is "three hundred thirteen thousand, eight hundred forty-five".