312609 has 8 divisors (see below), whose sum is σ = 454752. Its totient is φ = 189440.

The previous prime is 312601. The next prime is 312617. The reversal of 312609 is 906213.

It is an interprime number because it is at equal distance from previous prime (312601) and next prime (312617).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312609 - 2³ = 312601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312601) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4704 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (56844).

2³¹²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

312609 is a deficient number, since it is larger than the sum of its proper divisors (142143).

312609 is a wasteful number, since it uses less digits than its factorization.

312609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 312609 is about 559.1144784389. The cubic root of 312609 is about 67.8683294049.

The spelling of 312609 in words is "three hundred twelve thousand, six hundred nine".