8477 has 6 divisors (see below), whose sum is σ = 9918. Its totient is φ = 7224.

The previous prime is 8467. The next prime is 8501. The reversal of 8477 is 7748.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 196 = 91^2 + 14^2 .

It is not a de Polignac number, because 8477 - 2⁴ = 8461 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

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 8477.

It is not an unprimeable number, because it can be changed into a prime (8447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1653).

2⁸⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

8477 is a deficient number, since it is larger than the sum of its proper divisors (1441).

8477 is a wasteful number, since it uses less digits than its factorization.

8477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 8477 is about 92.0706250658. The cubic root of 8477 is about 20.3898514176.

Subtracting from 8477 its reverse (7748), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 847 and 7, that multiplied together give a square (5929 = 77²).

The spelling of 8477 in words is "eight thousand, four hundred seventy-seven".