314900 has 36 divisors (see below), whose sum is σ = 708288. Its totient is φ = 121440.

The previous prime is 314879. The next prime is 314903. The reversal of 314900 is 9413.

314900 = 100² + 101² + ... + 124².

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 314900.

It is not an unprimeable number, because it can be changed into a prime (314903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4667 + ... + 4733.

2³¹⁴⁹⁰⁰ 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 314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144).

314900 is an abundant number, since it is smaller than the sum of its proper divisors (393388).

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

314900 is a wasteful number, since it uses less digits than its factorization.

314900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 314900 is about 561.1595138639. The cubic root of 314900 is about 68.0337203000.

The spelling of 314900 in words is "three hundred fourteen thousand, nine hundred".