311607 has 10 divisors (see below), whose sum is σ = 465608. Its totient is φ = 207684.

The previous prime is 311603. The next prime is 311609. The reversal of 311607 is 706113.

It is not a de Polignac number, because 311607 - 2² = 311603 is a prime.

It is a Duffinian number.

311607 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 311607.

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 311607.

It is not an unprimeable number, because it can be changed into a prime (311603) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1843 + ... + 2004.

2³¹¹⁶⁰⁷ is an apocalyptic number.

311607 is a deficient number, since it is larger than the sum of its proper divisors (154001).

311607 is an equidigital number, since it uses as much as digits as its factorization.

311607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 311607 is about 558.2176994686. The cubic root of 311607 is about 67.7957394143.

The spelling of 311607 in words is "three hundred eleven thousand, six hundred seven".