906772 has 12 divisors (see below), whose sum is σ = 1641780. Its totient is φ = 437696.

The previous prime is 906767. The next prime is 906779. The reversal of 906772 is 277609.

It is a happy number.

906772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 749956 = 396^2 + 866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906779) 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, 3793 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (136815).

2⁹⁰⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

906772 is a deficient number, since it is larger than the sum of its proper divisors (735008).

906772 is a wasteful number, since it uses less digits than its factorization.

906772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 906772 is about 952.2457665960. The cubic root of 906772 is about 96.7904926573.

The spelling of 906772 in words is "nine hundred six thousand, seven hundred seventy-two".