312013 has 4 divisors (see below), whose sum is σ = 336028. Its totient is φ = 288000.

The previous prime is 312007. The next prime is 312023. The reversal of 312013 is 310213.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64009 + 248004 = 253^2 + 498^2 .

It is a cyclic number.

It is not a de Polignac number, because 312013 - 2⁵ = 311981 is a prime.

It is a super-2 number, since 2×312013² = 194704224338, which contains 22 as substring.

It is a Duffinian 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 3 ways as a sum of consecutive naturals, for example, 11988 + ... + 12013.

It is an arithmetic number, because the mean of its divisors is an integer number (84007).

2³¹²⁰¹³ is an apocalyptic number.

It is an amenable number.

312013 is a deficient number, since it is larger than the sum of its proper divisors (24015).

312013 is a wasteful number, since it uses less digits than its factorization.

312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 312013 is about 558.5812384962. The cubic root of 312013 is about 67.8251708504.

Adding to 312013 its reverse (310213), we get a palindrome (622226).

The spelling of 312013 in words is "three hundred twelve thousand, thirteen".