82986752 has 36 divisors (see below), whose sum is σ = 171009216. Its totient is φ = 40151040.

The previous prime is 82986749. The next prime is 82986773. The reversal of 82986752 is 25768928.

It is a junction number, because it is equal to n+sod(n) for n = 82986697 and 82986706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2708 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (4750256).

Almost surely, 2^82986752 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 82986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85504608).

82986752 is an abundant number, since it is smaller than the sum of its proper divisors (88022464).

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

82986752 is a wasteful number, since it uses less digits than its factorization.

82986752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10490 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 82986752 is about 9109.7064716708. The cubic root of 82986752 is about 436.1838575924.

It can be divided in two parts, 82986 and 752, that added together give a palindrome (83738).

The spelling of 82986752 in words is "eighty-two million, nine hundred eighty-six thousand, seven hundred fifty-two".