264772 has 12 divisors (see below), whose sum is σ = 476140. Its totient is φ = 128736.

The previous prime is 264769. The next prime is 264779. The reversal of 264772 is 277462.

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 20736 = 494^2 + 144^2 .

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 7 + 4 + 7⁴ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 264772.

It is not an unprimeable number, because it can be changed into a prime (264779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 747 + ... + 1042.

2²⁶⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

264772 is a deficient number, since it is larger than the sum of its proper divisors (211368).

264772 is a wasteful number, since it uses less digits than its factorization.

264772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1828 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 264772 is about 514.5600062189. The cubic root of 264772 is about 64.2131564669.

The spelling of 264772 in words is "two hundred sixty-four thousand, seven hundred seventy-two".