313961 has 2 divisors, whose sum is σ = 313962. Its totient is φ = 313960.

The previous prime is 313949. The next prime is 313969. The reversal of 313961 is 169313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 361 = 560^2 + 19^2 .

It is an emirp because it is prime and its reverse (169313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313961 - 2⁶ = 313897 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313961.

It is not a weakly prime, because it can be changed into another prime (313969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156980 + 156981.

It is an arithmetic number, because the mean of its divisors is an integer number (156981).

2³¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

313961 is a deficient number, since it is larger than the sum of its proper divisors (1).

313961 is an equidigital number, since it uses as much as digits as its factorization.

313961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 23.

The square root of 313961 is about 560.3222287220. The cubic root of 313961 is about 67.9660297454.

The spelling of 313961 in words is "three hundred thirteen thousand, nine hundred sixty-one".