82142632 has 64 divisors (see below), whose sum is σ = 184161600. Its totient is φ = 33853440.

The previous prime is 82142629. The next prime is 82142651. The reversal of 82142632 is 23624128.

It is a self number, because there is not a number n which added to its sum of digits gives 82142632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66888 + ... + 68104.

It is an arithmetic number, because the mean of its divisors is an integer number (2877525).

Almost surely, 2^82142632 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 82142632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080800).

82142632 is an abundant number, since it is smaller than the sum of its proper divisors (102018968).

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

82142632 is a wasteful number, since it uses less digits than its factorization.

82142632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 82142632 is about 9063.2572511211. The cubic root of 82142632 is about 434.6998978236.

The spelling of 82142632 in words is "eighty-two million, one hundred forty-two thousand, six hundred thirty-two".