313727 has 2 divisors, whose sum is σ = 313728. Its totient is φ = 313726.

The previous prime is 313721. The next prime is 313739. The reversal of 313727 is 727313.

It is a weak prime.

It is an emirp because it is prime and its reverse (727313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313727 - 2⁴ = 313711 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₂₇₀₉₅ and since 313727 and 27095 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313727.

It is not a weakly prime, because it can be changed into another prime (313721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156863 + 156864.

It is an arithmetic number, because the mean of its divisors is an integer number (156864).

2³¹³⁷²⁷ is an apocalyptic number.

313727 is a deficient number, since it is larger than the sum of its proper divisors (1).

313727 is an equidigital number, since it uses as much as digits as its factorization.

313727 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 23.

The square root of 313727 is about 560.1133813792. The cubic root of 313727 is about 67.9491401701.

The spelling of 313727 in words is "three hundred thirteen thousand, seven hundred twenty-seven".