312093 has 10 divisors (see below), whose sum is σ = 466334. Its totient is φ = 208008.

The previous prime is 312089. The next prime is 312101. The reversal of 312093 is 390213.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 729 = 558^2 + 27^2 .

It is not a de Polignac number, because 312093 - 2² = 312089 is a prime.

It is a Duffinian number.

312093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1846 + ... + 2007.

2³¹²⁰⁹³ is an apocalyptic number.

It is an amenable number.

312093 is a deficient number, since it is larger than the sum of its proper divisors (154241).

312093 is an equidigital number, since it uses as much as digits as its factorization.

312093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3856 counting only the distinct ones).

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

The square root of 312093 is about 558.6528439022. The cubic root of 312093 is about 67.8309671366.

The spelling of 312093 in words is "three hundred twelve thousand, ninety-three".