312059 has 6 divisors (see below), whose sum is σ = 343140. Its totient is φ = 283580.

The previous prime is 312047. The next prime is 312071. The reversal of 312059 is 950213.

It is an interprime number because it is at equal distance from previous prime (312047) and next prime (312071).

It is not a de Polignac number, because 312059 - 2⁴ = 312043 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312059.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312059.

It is not an unprimeable number, because it can be changed into a prime (312029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1169 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (57190).

2³¹²⁰⁵⁹ is an apocalyptic number.

312059 is a deficient number, since it is larger than the sum of its proper divisors (31081).

312059 is a wasteful number, since it uses less digits than its factorization.

312059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 312059 is about 558.6224127262. The cubic root of 312059 is about 67.8285038360.

The spelling of 312059 in words is "three hundred twelve thousand, fifty-nine".