4632 has 16 divisors (see below), whose sum is σ = 11640. Its totient is φ = 1536.

The previous prime is 4621. The next prime is 4637. The reversal of 4632 is 2364.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15.

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 4632.

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 3 ways as a sum of consecutive naturals, for example, 73 + ... + 120.

2⁴⁶³² is an apocalyptic number.

It is an amenable number.

4632 is an abundant number, since it is smaller than the sum of its proper divisors (7008).

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 (5820).

4632 is a wasteful number, since it uses less digits than its factorization.

4632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 4632 is about 68.0587981087. The cubic root of 4632 is about 16.6695106258.

Adding to 4632 its reverse (2364), we get a palindrome (6996).

It can be divided in two parts, 463 and 2, that added together give a triangular number (465 = T₃₀).

The spelling of 4632 in words is "four thousand, six hundred thirty-two".