313777 has 2 divisors, whose sum is σ = 313778. Its totient is φ = 313776.

The previous prime is 313763. The next prime is 313783. The reversal of 313777 is 777313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312481 + 1296 = 559^2 + 36^2 .

It is an emirp because it is prime and its reverse (777313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313777 is a prime.

It is a Chen prime.

313777 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (313717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156888 + 156889.

It is an arithmetic number, because the mean of its divisors is an integer number (156889).

2³¹³⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

313777 is a deficient number, since it is larger than the sum of its proper divisors (1).

313777 is an equidigital number, since it uses as much as digits as its factorization.

313777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3087, while the sum is 28.

The square root of 313777 is about 560.1580134212. The cubic root of 313777 is about 67.9527497591.

The spelling of 313777 in words is "three hundred thirteen thousand, seven hundred seventy-seven".