82147632 has 80 divisors (see below), whose sum is σ = 244865280. Its totient is φ = 23245056.

The previous prime is 82147631. The next prime is 82147661. The reversal of 82147632 is 23674128.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82147593 and 82147602.

It is not an unprimeable number, because it can be changed into a prime (82147631) by changing a digit.

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, 35503 + ... + 37745.

It is an arithmetic number, because the mean of its divisors is an integer number (3060816).

Almost surely, 2^82147632 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 82147632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122432640).

82147632 is an abundant number, since it is smaller than the sum of its proper divisors (162717648).

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

82147632 is a wasteful number, since it uses less digits than its factorization.

82147632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 82147632 is about 9063.5330859439. The cubic root of 82147632 is about 434.7087176667.

The spelling of 82147632 in words is "eighty-two million, one hundred forty-seven thousand, six hundred thirty-two".