82259424 has 144 divisors (see below), whose sum is σ = 255370752. Its totient is φ = 24966144.

The previous prime is 82259389. The next prime is 82259449. The reversal of 82259424 is 42495228.

82259424 is a `hidden beast` number, since 8 + 225 + 9 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82259424² = 13533225673623552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475402 + ... + 475574.

It is an arithmetic number, because the mean of its divisors is an integer number (1773408).

Almost surely, 2^82259424 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 82259424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127685376).

82259424 is an abundant number, since it is smaller than the sum of its proper divisors (173111328).

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

82259424 is a wasteful number, since it uses less digits than its factorization.

82259424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82259424 is about 9069.6981206653. The cubic root of 82259424 is about 434.9058218631.

The spelling of 82259424 in words is "eighty-two million, two hundred fifty-nine thousand, four hundred twenty-four".