311677 has 2 divisors, whose sum is σ = 311678. Its totient is φ = 311676.

The previous prime is 311659. The next prime is 311681. The reversal of 311677 is 776113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306916 + 4761 = 554^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 311677 - 2¹¹ = 309629 is a prime.

311677 is a lucky number.

It is equal to p₂₆₉₂₆ and since 311677 and 26926 have the same sum of digits, it is a Honaker prime.

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 311677.

It is not a weakly prime, because it can be changed into another prime (311687) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155838 + 155839.

It is an arithmetic number, because the mean of its divisors is an integer number (155839).

2³¹¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

311677 is a deficient number, since it is larger than the sum of its proper divisors (1).

311677 is an equidigital number, since it uses as much as digits as its factorization.

311677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 25.

The square root of 311677 is about 558.2803955003. The cubic root of 311677 is about 67.8008156230.

It can be divided in two parts, 3116 and 77, that multiplied together give a palindrome (239932).

The spelling of 311677 in words is "three hundred eleven thousand, six hundred seventy-seven".