4676 has 12 divisors (see below), whose sum is σ = 9408. Its totient is φ = 1992.

The previous prime is 4673. The next prime is 4679. The reversal of 4676 is 6764.

4676 = T₃₃ + T₃₄ + ... + T₃₉.

4676 = 1⁴ + 2⁴ + ... + 7⁴.

It is an interprime number because it is at equal distance from previous prime (4673) and next prime (4679).

4676 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15 and base 16.

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 4676.

It is not an unprimeable number, because it can be changed into a prime (4673) 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, 56 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

2⁴⁶⁷⁶ is an apocalyptic number.

4676 is the 56-th pentagonal number.

It is an amenable number.

4676 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704).

4676 is a wasteful number, since it uses less digits than its factorization.

4676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 4676 is about 68.3812839891. The cubic root of 4676 is about 16.7221263598.

It can be divided in two parts, 4 and 676, that multiplied together give a square (2704 = 52²).

The spelling of 4676 in words is "four thousand, six hundred seventy-six".