4635 has 12 divisors (see below), whose sum is σ = 8112. Its totient is φ = 2448.

The previous prime is 4621. The next prime is 4637. The reversal of 4635 is 5364.

It is a happy number.

4635 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 4635 - 2⁵ = 4603 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (676).

2⁴⁶³⁵ is an apocalyptic number.

4635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4635 is a deficient number, since it is larger than the sum of its proper divisors (3477).

4635 is a wasteful number, since it uses less digits than its factorization.

4635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 4635 is about 68.0808343075. The cubic root of 4635 is about 16.6731086209.

Adding to 4635 its reverse (5364), we get a palindrome (9999).

Subtracting 4635 from its reverse (5364), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 46 and 35, that added together give a 4-th power (81 = 3⁴).

The spelling of 4635 in words is "four thousand, six hundred thirty-five".