313322000 has 80 divisors (see below), whose sum is σ = 776294064. Its totient is φ = 122240000.

The previous prime is 313321997. The next prime is 313322011. The reversal of 313322000 is 223313.

It can be written as a sum of positive squares in 8 ways, for example, as 116985856 + 196336144 = 10816^2 + 14012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80090 + ... + 83910.

Almost surely, 2^313322000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388147032).

313322000 is an abundant number, since it is smaller than the sum of its proper divisors (462972064).

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

313322000 is a wasteful number, since it uses less digits than its factorization.

313322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313322000 is about 17700.9039317205. The cubic root of 313322000 is about 679.1988835550.

Adding to 313322000 its reverse (223313), we get a palindrome (313545313).

The spelling of 313322000 in words is "three hundred thirteen million, three hundred twenty-two thousand".