313561 has 2 divisors, whose sum is σ = 313562. Its totient is φ = 313560.

The previous prime is 313553. The next prime is 313567. The reversal of 313561 is 165313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 105625 = 456^2 + 325^2 .

It is an emirp because it is prime and its reverse (165313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313561 - 2³ = 313553 is a prime.

313561 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (313567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156780 + 156781.

It is an arithmetic number, because the mean of its divisors is an integer number (156781).

2³¹³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

313561 is a deficient number, since it is larger than the sum of its proper divisors (1).

313561 is an equidigital number, since it uses as much as digits as its factorization.

313561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 313561 is about 559.9651774887. The cubic root of 313561 is about 67.9371535838.

Adding to 313561 its reverse (165313), we get a palindrome (478874).

The spelling of 313561 in words is "three hundred thirteen thousand, five hundred sixty-one".