313898000 has 80 divisors (see below), whose sum is σ = 817458096. Its totient is φ = 115891200.

The previous prime is 313897981. The next prime is 313898003. The reversal of 313898000 is 898313.

It can be written as a sum of positive squares in 8 ways, for example, as 254977024 + 58920976 = 15968^2 + 7676^2 .

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

It is not an unprimeable number, because it can be changed into a prime (313898003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19964 + ... + 32036.

Almost surely, 2^313898000 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 313898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408729048).

313898000 is an abundant number, since it is smaller than the sum of its proper divisors (503560096).

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

313898000 is a wasteful number, since it uses less digits than its factorization.

313898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 313898000 is about 17717.1668163959. The cubic root of 313898000 is about 679.6148337781.

The spelling of 313898000 in words is "three hundred thirteen million, eight hundred ninety-eight thousand".