313009 has 2 divisors, whose sum is σ = 313010. Its totient is φ = 313008.

The previous prime is 313003. The next prime is 313031. The reversal of 313009 is 900313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 34225 = 528^2 + 185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313009 is a prime.

It is an Ulam number.

313009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 312983 and 313001.

It is not a weakly prime, because it can be changed into another prime (313003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156504 + 156505.

It is an arithmetic number, because the mean of its divisors is an integer number (156505).

2³¹³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

313009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313009 is an equidigital number, since it uses as much as digits as its factorization.

313009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 313009 is about 559.4720725827. The cubic root of 313009 is about 67.8972641244.

The spelling of 313009 in words is "three hundred thirteen thousand, nine".