477693 has 6 divisors (see below), whose sum is σ = 690014. Its totient is φ = 318456.

The previous prime is 477677. The next prime is 477721. The reversal of 477693 is 396774.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 205209 = 522^2 + 453^2 .

It is not a de Polignac number, because 477693 - 2⁴ = 477677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477693.

It is not an unprimeable number, because it can be changed into a prime (477623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26530 + ... + 26547.

2⁴⁷⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

477693 is a deficient number, since it is larger than the sum of its proper divisors (212321).

477693 is a wasteful number, since it uses less digits than its factorization.

477693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53083 (or 53080 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 477693 is about 691.1533838447. The cubic root of 477693 is about 78.1717124375.

The spelling of 477693 in words is "four hundred seventy-seven thousand, six hundred ninety-three".