477713 has 4 divisors (see below), whose sum is σ = 483840. Its totient is φ = 471588.

The previous prime is 477677. The next prime is 477721. The reversal of 477713 is 317774.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 477713 - 2¹² = 473617 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477713.

It is not an unprimeable number, because it can be changed into a prime (477013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2945 + ... + 3102.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

2⁴⁷⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

477713 is a deficient number, since it is larger than the sum of its proper divisors (6127).

477713 is an equidigital number, since it uses as much as digits as its factorization.

477713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126.

The product of its digits is 4116, while the sum is 29.

The square root of 477713 is about 691.1678522617. The cubic root of 477713 is about 78.1728033839.

It can be divided in two parts, 47771 and 3, that added together give a palindrome (47774).

The spelling of 477713 in words is "four hundred seventy-seven thousand, seven hundred thirteen".