313314984 has 48 divisors (see below), whose sum is σ = 849420000. Its totient is φ = 104332704.

The previous prime is 313314943. The next prime is 313315061. The reversal of 313314984 is 489413313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106477 + ... + 109379.

It is an arithmetic number, because the mean of its divisors is an integer number (17696250).

Almost surely, 2^313314984 is an apocalyptic number.

It is an amenable number.

313314984 is an abundant number, since it is smaller than the sum of its proper divisors (536105016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313314984 is a wasteful number, since it uses less digits than its factorization.

313314984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4407 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 313314984 is about 17700.7057486418. The cubic root of 313314984 is about 679.1938139090.

It can be divided in two parts, 31331 and 4984, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 313314984 in words is "three hundred thirteen million, three hundred fourteen thousand, nine hundred eighty-four".