82582434 has 48 divisors (see below), whose sum is σ = 196975584. Its totient is φ = 24796800.

The previous prime is 82582429. The next prime is 82582439. The reversal of 82582434 is 43428528.

It is an interprime number because it is at equal distance from previous prime (82582429) and next prime (82582439).

It is not an unprimeable number, because it can be changed into a prime (82582439) 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 23 ways as a sum of consecutive naturals, for example, 20529 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (4103658).

Almost surely, 2^82582434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82582434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98487792).

82582434 is an abundant number, since it is smaller than the sum of its proper divisors (114393150).

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

82582434 is a wasteful number, since it uses less digits than its factorization.

82582434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3820 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82582434 is about 9087.4877716561. The cubic root of 82582434 is about 435.4743299999.

The spelling of 82582434 in words is "eighty-two million, five hundred eighty-two thousand, four hundred thirty-four".