577972 has 12 divisors (see below), whose sum is σ = 1020096. Its totient is φ = 286520.

The previous prime is 577957. The next prime is 577979. The reversal of 577972 is 279775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577979) by changing a digit.

577972 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 3 ways as a sum of consecutive naturals, for example, 28 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (85008).

2⁵⁷⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

577972 is a deficient number, since it is larger than the sum of its proper divisors (442124).

577972 is a wasteful number, since it uses less digits than its factorization.

577972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 30870, while the sum is 37.

The square root of 577972 is about 760.2446974494. The cubic root of 577972 is about 83.2981967427.

It can be divided in two parts, 5 and 77972, that added together give a palindrome (77977).

The spelling of 577972 in words is "five hundred seventy-seven thousand, nine hundred seventy-two".