82332000 has 144 divisors (see below), whose sum is σ = 292324032. Its totient is φ = 21945600.

The previous prime is 82331987. The next prime is 82332007. The reversal of 82332000 is 23328.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82332007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34857 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (2030028).

Almost surely, 2^82332000 is an apocalyptic number.

82332000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146162016).

82332000 is an abundant number, since it is smaller than the sum of its proper divisors (209992032).

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

82332000 is a wasteful number, since it uses less digits than its factorization.

82332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 82332000 is about 9073.6982537442. The cubic root of 82332000 is about 435.0336874426.

Adding to 82332000 its reverse (23328), we get a palindrome (82355328).

It can be divided in two parts, 823 and 32000, that added together give a palindrome (32823).

The spelling of 82332000 in words is "eighty-two million, three hundred thirty-two thousand".