472977 has 6 divisors (see below), whose sum is σ = 683202. Its totient is φ = 315312.

The previous prime is 472963. The next prime is 472993. The reversal of 472977 is 779274.

It can be written as a sum of positive squares in only one way, i.e., 463761 + 9216 = 681^2 + 96^2 .

It is not a de Polignac number, because 472977 - 2⁸ = 472721 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472977.

It is not an unprimeable number, because it can be changed into a prime (472907) by changing a digit.

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, 26268 + ... + 26285.

It is an arithmetic number, because the mean of its divisors is an integer number (113867).

2⁴⁷²⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

472977 is a deficient number, since it is larger than the sum of its proper divisors (210225).

472977 is a wasteful number, since it uses less digits than its factorization.

472977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52559 (or 52556 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 472977 is about 687.7332331653. The cubic root of 472977 is about 77.9136124451.

The spelling of 472977 in words is "four hundred seventy-two thousand, nine hundred seventy-seven".