311772 has 12 divisors (see below), whose sum is σ = 727496. Its totient is φ = 103920.

The previous prime is 311749. The next prime is 311791. The reversal of 311772 is 277113.

It is a tau number, because it is divible by the number of its divisors (12).

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 311772.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12979 + ... + 13002.

2³¹¹⁷⁷² is an apocalyptic number.

It is an amenable number.

311772 is an abundant number, since it is smaller than the sum of its proper divisors (415724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311772 is a wasteful number, since it uses less digits than its factorization.

311772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25988 (or 25986 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 311772 is about 558.3654717119. The cubic root of 311772 is about 67.8077035477.

Adding to 311772 its reverse (277113), we get a palindrome (588885).

The spelling of 311772 in words is "three hundred eleven thousand, seven hundred seventy-two", and thus it is an iban number.