82571424 has 96 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 25132032.

The previous prime is 82571389. The next prime is 82571429. The reversal of 82571424 is 42417528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82571424² = 13636080122775552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82571429) 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 15 ways as a sum of consecutive naturals, for example, 135729 + ... + 136335.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^82571424 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 82571424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

82571424 is an abundant number, since it is smaller than the sum of its proper divisors (153381216).

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

82571424 is a wasteful number, since it uses less digits than its factorization.

82571424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 82571424 is about 9086.8819734824. The cubic root of 82571424 is about 435.4549764674.

The spelling of 82571424 in words is "eighty-two million, five hundred seventy-one thousand, four hundred twenty-four".