133332 has 24 divisors (see below), whose sum is σ = 319872. Its totient is φ = 43200.

The previous prime is 133327. The next prime is 133337. The reversal of 133332 is 233331.

It is an interprime number because it is at equal distance from previous prime (133327) and next prime (133337).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133337) by changing a digit.

133332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (13328).

2¹³³³³² is an apocalyptic number.

133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133332 is an abundant number, since it is smaller than the sum of its proper divisors (186540).

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

133332 is a wasteful number, since it uses less digits than its factorization.

133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its digits is 162, while the sum is 15.

The square root of 133332 is about 365.1465459237. The cubic root of 133332 is about 51.0871252014.

Adding to 133332 its reverse (233331), we get a palindrome (366663).

Subtracting 133332 from its reverse (233331), we obtain a palindrome (99999).

It can be divided in two parts, 133 and 332, that added together give a triangular number (465 = T₃₀).

The spelling of 133332 in words is "one hundred thirty-three thousand, three hundred thirty-two".