82413032 has 64 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 35679744.

The previous prime is 82413011. The next prime is 82413061. The reversal of 82413032 is 23031428.

It is a junction number, because it is equal to n+sod(n) for n = 82412989 and 82413007.

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, 353588 + ... + 353820.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^82413032 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 82413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

82413032 is an abundant number, since it is smaller than the sum of its proper divisors (94490968).

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

82413032 is a wasteful number, since it uses less digits than its factorization.

82413032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 82413032 is about 9078.1623691141. The cubic root of 82413032 is about 435.1763621866.

The spelling of 82413032 in words is "eighty-two million, four hundred thirteen thousand, thirty-two".