920772 has 18 divisors (see below), whose sum is σ = 2327598. Its totient is φ = 306912.

The previous prime is 920761. The next prime is 920783. The reversal of 920772 is 277029.

It is an interprime number because it is at equal distance from previous prime (920761) and next prime (920783).

It can be written as a sum of positive squares in only one way, i.e., 553536 + 367236 = 744^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

920772 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 5 ways as a sum of consecutive naturals, for example, 12753 + ... + 12824.

It is an arithmetic number, because the mean of its divisors is an integer number (129311).

2⁹²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

920772 is an abundant number, since it is smaller than the sum of its proper divisors (1406826).

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

920772 is a wasteful number, since it uses less digits than its factorization.

920772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587 (or 25582 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 920772 is about 959.5686530937. The cubic root of 920772 is about 97.2860793123.

The spelling of 920772 in words is "nine hundred twenty thousand, seven hundred seventy-two".