912772 has 18 divisors (see below), whose sum is σ = 1858542. Its totient is φ = 391104.

The previous prime is 912763. The next prime is 912773. The reversal of 912772 is 277219.

912772 = T₁₆₈ + T₁₆₉ + ... + T₂₁₆.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 298116 = 784^2 + 546^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 912772.

It is not an unprimeable number, because it can be changed into a prime (912773) by changing a digit.

912772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2133 + ... + 2524.

2⁹¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

912772 is an abundant number, since it is smaller than the sum of its proper divisors (945770).

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

912772 is a wasteful number, since it uses less digits than its factorization.

912772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4666 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 912772 is about 955.3910194261. The cubic root of 912772 is about 97.0035071535.

It can be divided in two parts, 91 and 2772, that multiplied together give a palindrome (252252).

The spelling of 912772 in words is "nine hundred twelve thousand, seven hundred seventy-two".