477531 has 12 divisors (see below), whose sum is σ = 698152. Its totient is φ = 314496.

The previous prime is 477523. The next prime is 477539. The reversal of 477531 is 135774.

477531 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (477523) and next prime (477539).

It is not a de Polignac number, because 477531 - 2³ = 477523 is a prime.

It is a super-2 number, since 2×477531² = 456071711922, which contains 22 as substring.

It is a Duffinian number.

477531 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 477495 and 477504.

It is not an unprimeable number, because it can be changed into a prime (477539) 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 11 ways as a sum of consecutive naturals, for example, 600 + ... + 1146.

2⁴⁷⁷⁵³¹ is an apocalyptic number.

477531 is a deficient number, since it is larger than the sum of its proper divisors (220621).

477531 is a wasteful number, since it uses less digits than its factorization.

477531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 647 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 477531 is about 691.0361785030. The cubic root of 477531 is about 78.1628746489.

The spelling of 477531 in words is "four hundred seventy-seven thousand, five hundred thirty-one".