312039 has 32 divisors (see below), whose sum is σ = 573440. Its totient is φ = 163296.

The previous prime is 312031. The next prime is 312043. The reversal of 312039 is 930213.

312039 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312039 - 2³ = 312031 is a prime.

It is an Ulam number.

312039 is strictly pandigital in base 7.

312039 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (17920).

312039 is a Friedman number, since it can be written as 39*(20^3+1), using all its digits and the basic arithmetic operations.

2³¹²⁰³⁹ is an apocalyptic number.

312039 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

312039 is a deficient number, since it is larger than the sum of its proper divisors (261401).

312039 is a wasteful number, since it uses less digits than its factorization.

312039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 312039 is about 558.6045112600. The cubic root of 312039 is about 67.8270547521.

The spelling of 312039 in words is "three hundred twelve thousand, thirty-nine".