83352 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 26400.

The previous prime is 83341. The next prime is 83357. The reversal of 83352 is 25338.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83357) by changing a digit.

83352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁸³³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

83352 is an abundant number, since it is smaller than the sum of its proper divisors (135528).

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

83352 is a wasteful number, since it uses less digits than its factorization.

83352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 83352 is about 288.7074643995. The cubic root of 83352 is about 43.6822843604.

It can be divided in two parts, 83 and 352, that added together give a triangular number (435 = T₂₉).

The spelling of 83352 in words is "eighty-three thousand, three hundred fifty-two".