309772 has 12 divisors (see below), whose sum is σ = 555016. Its totient is φ = 151200.

The previous prime is 309769. The next prime is 309779. The reversal of 309772 is 277903.

It is a happy number.

309772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 309772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 729 + ... + 1072.

2³⁰⁹⁷⁷² is an apocalyptic number.

309772 is the 298-th centered heptagonal number.

It is an amenable number.

309772 is a deficient number, since it is larger than the sum of its proper divisors (245244).

309772 is a wasteful number, since it uses less digits than its factorization.

309772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 309772 is about 556.5716485773. The cubic root of 309772 is about 67.6623981820.

It can be divided in two parts, 309 and 772, that added together give a triangular number (1081 = T₄₆).

The spelling of 309772 in words is "three hundred nine thousand, seven hundred seventy-two".