312589 has 2 divisors, whose sum is σ = 312590. Its totient is φ = 312588.

The previous prime is 312583. The next prime is 312601. The reversal of 312589 is 985213.

312589 = T₄₅₅ + T₄₅₆ + T₄₅₇.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 1225 = 558^2 + 35^2 .

It is an emirp because it is prime and its reverse (985213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312589 - 2³ = 312581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156294 + 156295.

It is an arithmetic number, because the mean of its divisors is an integer number (156295).

2³¹²⁵⁸⁹ is an apocalyptic number.

312589 is the 457-th centered triangular number.

It is an amenable number.

312589 is a deficient number, since it is larger than the sum of its proper divisors (1).

312589 is an equidigital number, since it uses as much as digits as its factorization.

312589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 28.

The square root of 312589 is about 559.0965927279. The cubic root of 312589 is about 67.8668820212.

The spelling of 312589 in words is "three hundred twelve thousand, five hundred eighty-nine".