82531424 has 48 divisors (see below), whose sum is σ = 168892416. Its totient is φ = 39657600.

The previous prime is 82531411. The next prime is 82531433. The reversal of 82531424 is 42413528.

It is a happy number.

It is a super-2 number, since 2×82531424² = 13622871894935552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268679 + ... + 268985.

It is an arithmetic number, because the mean of its divisors is an integer number (3518592).

Almost surely, 2^82531424 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 82531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84446208).

82531424 is an abundant number, since it is smaller than the sum of its proper divisors (86360992).

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

82531424 is a wasteful number, since it uses less digits than its factorization.

82531424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 82531424 is about 9084.6807318694. The cubic root of 82531424 is about 435.3846494237.

The spelling of 82531424 in words is "eighty-two million, five hundred thirty-one thousand, four hundred twenty-four".