82138592 has 36 divisors (see below), whose sum is σ = 167157648. Its totient is φ = 39729600.

The previous prime is 82138549. The next prime is 82138597. The reversal of 82138592 is 29583128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82138597) 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 5 ways as a sum of consecutive naturals, for example, 29417 + ... + 32087.

It is an arithmetic number, because the mean of its divisors is an integer number (4643268).

Almost surely, 2^82138592 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 82138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83578824).

82138592 is an abundant number, since it is smaller than the sum of its proper divisors (85019056).

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

82138592 is a wasteful number, since it uses less digits than its factorization.

82138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2704 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 82138592 is about 9063.0343704523. The cubic root of 82138592 is about 434.6927711289.

The spelling of 82138592 in words is "eighty-two million, one hundred thirty-eight thousand, five hundred ninety-two".