477667 has 4 divisors (see below), whose sum is σ = 479056. Its totient is φ = 476280.

The previous prime is 477637. The next prime is 477671. The reversal of 477667 is 766774.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 477667 - 2⁷ = 477539 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (477637) 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 3 ways as a sum of consecutive naturals, for example, 253 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (119764).

2⁴⁷⁷⁶⁶⁷ is an apocalyptic number.

477667 is a deficient number, since it is larger than the sum of its proper divisors (1389).

477667 is an equidigital number, since it uses as much as digits as its factorization.

477667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388.

The product of its digits is 49392, while the sum is 37.

The square root of 477667 is about 691.1345744499. The cubic root of 477667 is about 78.1702941616.

Subtracting from 477667 its product of digits (49392), we obtain a triangular number (428275 = T₉₂₅).

The spelling of 477667 in words is "four hundred seventy-seven thousand, six hundred sixty-seven".