956772 has 30 divisors (see below), whose sum is σ = 2502038. Its totient is φ = 318816.

The previous prime is 956759. The next prime is 956789. The reversal of 956772 is 277659.

956772 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 only one way, i.e., 910116 + 46656 = 954^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 9³ + 5³ + 7 + 6⁴ + 7⁷ + 2¹⁷ .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

956772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1153 + ... + 1800.

2⁹⁵⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

956772 is an abundant number, since it is smaller than the sum of its proper divisors (1545266).

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

956772 is a wasteful number, since it uses less digits than its factorization.

956772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2958 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 956772 is about 978.1472281819. The cubic root of 956772 is about 98.5377903043.

It can be divided in two parts, 956 and 772, that added together give a cube (1728 = 12³).

The spelling of 956772 in words is "nine hundred fifty-six thousand, seven hundred seventy-two".