83652 has 12 divisors (see below), whose sum is σ = 195216. Its totient is φ = 27880.

The previous prime is 83641. The next prime is 83653. The reversal of 83652 is 25638.

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

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (83653) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3474 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (16268).

2⁸³⁶⁵² is an apocalyptic number.

It is an amenable number.

83652 is an abundant number, since it is smaller than the sum of its proper divisors (111564).

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 (97608).

83652 is a wasteful number, since it uses less digits than its factorization.

83652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6976 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 83652 is about 289.2265547974. The cubic root of 83652 is about 43.7346286136.

It can be divided in two parts, 836 and 52, that added together give a palindrome (888).

The spelling of 83652 in words is "eighty-three thousand, six hundred fifty-two".