477561 has 8 divisors (see below), whose sum is σ = 727744. Its totient is φ = 272880.

The previous prime is 477557. The next prime is 477571. The reversal of 477561 is 165774.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 477561 - 2² = 477557 is a prime.

It is a Duffinian number.

477561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (477511) 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 7 ways as a sum of consecutive naturals, for example, 11350 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (90968).

2⁴⁷⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

477561 is a deficient number, since it is larger than the sum of its proper divisors (250183).

477561 is a wasteful number, since it uses less digits than its factorization.

477561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22751.

The product of its digits is 5880, while the sum is 30.

The square root of 477561 is about 691.0578846956. The cubic root of 477561 is about 78.1645114272.

The spelling of 477561 in words is "four hundred seventy-seven thousand, five hundred sixty-one".