4675 has 12 divisors (see below), whose sum is σ = 6696. Its totient is φ = 3200.

The previous prime is 4673. The next prime is 4679. The reversal of 4675 is 5764.

4675 = 2⁴ + 3⁴ + ... + 7⁴.

It is not a de Polignac number, because 4675 - 2¹ = 4673 is a prime.

It is a Duffinian number.

4675 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2⁴⁶⁷⁵ is an apocalyptic number.

4675 is a deficient number, since it is larger than the sum of its proper divisors (2021).

4675 is a wasteful number, since it uses less digits than its factorization.

4675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 33 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 4675 is about 68.3739716559. The cubic root of 4675 is about 16.7209342213.

Subtracting 4675 from its reverse (5764), we obtain a square (1089 = 33²).

It can be divided in two parts, 46 and 75, that added together give a palindrome (121).

The spelling of 4675 in words is "four thousand, six hundred seventy-five".