312973 has 4 divisors (see below), whose sum is σ = 319680. Its totient is φ = 306268.

The previous prime is 312971. The next prime is 312979. The reversal of 312973 is 379213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312973 - 2¹ = 312971 is a prime.

It is a Duffinian number.

312973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3283 + ... + 3376.

It is an arithmetic number, because the mean of its divisors is an integer number (79920).

2³¹²⁹⁷³ is an apocalyptic number.

It is an amenable number.

312973 is a deficient number, since it is larger than the sum of its proper divisors (6707).

312973 is an equidigital number, since it uses as much as digits as its factorization.

312973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706.

The product of its digits is 1134, while the sum is 25.

The square root of 312973 is about 559.4398984699. The cubic root of 312973 is about 67.8946610094.

The spelling of 312973 in words is "three hundred twelve thousand, nine hundred seventy-three".