40332 has 12 divisors (see below), whose sum is σ = 94136. Its totient is φ = 13440.

The previous prime is 40289. The next prime is 40343. The reversal of 40332 is 23304.

40332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 3361 = 40332 / (4 + 0 + 3 + 3 + 2).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40332.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1669 + ... + 1692.

2⁴⁰³³² is an apocalyptic number.

It is an amenable number.

40332 is an abundant number, since it is smaller than the sum of its proper divisors (53804).

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 (47068).

40332 is a wasteful number, since it uses less digits than its factorization.

40332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 40332 is about 200.8282848605. The cubic root of 40332 is about 34.2938770247.

Adding to 40332 its product of nonzero digits (72), we get a palindrome (40404).

Adding to 40332 its reverse (23304), we get a palindrome (63636).

It can be divided in two parts, 403 and 32, that added together give a triangular number (435 = T₂₉).

The spelling of 40332 in words is "forty thousand, three hundred thirty-two".