312830 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 103680.

The previous prime is 312799. The next prime is 312839. The reversal of 312830 is 38213.

312830 = 77² + 78² + ... + 111².

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312799 and 312808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312839) 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, 2816 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³¹²⁸³⁰ is an apocalyptic number.

312830 is an abundant number, since it is smaller than the sum of its proper divisors (352450).

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

312830 is a wasteful number, since it uses less digits than its factorization.

312830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 312830 is about 559.3120774666. The cubic root of 312830 is about 67.8843188866.

The spelling of 312830 in words is "three hundred twelve thousand, eight hundred thirty".