82106332 has 48 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 31838400.

The previous prime is 82106303. The next prime is 82106357. The reversal of 82106332 is 23360128.

It is a junction number, because it is equal to n+sod(n) for n = 82106297 and 82106306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82357 + ... + 83347.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^82106332 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 82106332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

82106332 is an abundant number, since it is smaller than the sum of its proper divisors (97882148).

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

82106332 is a wasteful number, since it uses less digits than its factorization.

82106332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 82106332 is about 9061.2544385422. The cubic root of 82106332 is about 434.6358550284.

The spelling of 82106332 in words is "eighty-two million, one hundred six thousand, three hundred thirty-two".