82571742 has 48 divisors (see below), whose sum is σ = 197149680. Its totient is φ = 24768000.

The previous prime is 82571711. The next prime is 82571767. The reversal of 82571742 is 24717528.

82571742 is a `hidden beast` number, since 82 + 571 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82571697 and 82571706.

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, 17934 + ... + 22062.

It is an arithmetic number, because the mean of its divisors is an integer number (4107285).

Almost surely, 2^82571742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82571742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98574840).

82571742 is an abundant number, since it is smaller than the sum of its proper divisors (114577938).

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

82571742 is a wasteful number, since it uses less digits than its factorization.

82571742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4246 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 82571742 is about 9086.8994712168. The cubic root of 82571742 is about 435.4555354764.

It can be divided in two parts, 8257 and 1742, that added together give a palindrome (9999).

The spelling of 82571742 in words is "eighty-two million, five hundred seventy-one thousand, seven hundred forty-two".