82957842 has 72 divisors (see below), whose sum is σ = 202604220. Its totient is φ = 24499200.

The previous prime is 82957837. The next prime is 82957843. The reversal of 82957842 is 24875928.

It can be written as a sum of positive squares in 2 ways, for example, as 56115081 + 26842761 = 7491^2 + 5181^2 .

It is not an unprimeable number, because it can be changed into a prime (82957843) 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 35 ways as a sum of consecutive naturals, for example, 88834 + ... + 89762.

Almost surely, 2^82957842 is an apocalyptic number.

82957842 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 82957842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302110).

82957842 is an abundant number, since it is smaller than the sum of its proper divisors (119646378).

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

82957842 is a wasteful number, since it uses less digits than its factorization.

82957842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 986 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82957842 is about 9108.1195644326. The cubic root of 82957842 is about 436.1332007521.

The spelling of 82957842 in words is "eighty-two million, nine hundred fifty-seven thousand, eight hundred forty-two".