312900 has 72 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 71040.

The previous prime is 312899. The next prime is 312929. The reversal of 312900 is 9213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026 + ... + 2174.

2³¹²⁹⁰⁰ is an apocalyptic number.

312900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

312900 is an abundant number, since it is smaller than the sum of its proper divisors (728700).

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

312900 is a wasteful number, since it uses less digits than its factorization.

312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 312900 is about 559.3746508379. The cubic root of 312900 is about 67.8893818579.

The spelling of 312900 in words is "three hundred twelve thousand, nine hundred".