477973 has 2 divisors, whose sum is σ = 477974. Its totient is φ = 477972.

The previous prime is 477947. The next prime is 477977. The reversal of 477973 is 379774.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 77284 = 633^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 477973 - 2⁵ = 477941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (477977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238986 + 238987.

It is an arithmetic number, because the mean of its divisors is an integer number (238987).

2⁴⁷⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

477973 is a deficient number, since it is larger than the sum of its proper divisors (1).

477973 is an equidigital number, since it uses as much as digits as its factorization.

477973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37044, while the sum is 37.

The square root of 477973 is about 691.3559141282. The cubic root of 477973 is about 78.1869829176.

It can be divided in two parts, 4 and 77973, that added together give a palindrome (77977).

The spelling of 477973 in words is "four hundred seventy-seven thousand, nine hundred seventy-three".