82341700 has 72 divisors (see below), whose sum is σ = 206931200. Its totient is φ = 27855360.

The previous prime is 82341691. The next prime is 82341709. The reversal of 82341700 is 714328.

It is an interprime number because it is at equal distance from previous prime (82341691) and next prime (82341709).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82341709) 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 23 ways as a sum of consecutive naturals, for example, 54556 + ... + 56044.

Almost surely, 2^82341700 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 82341700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103465600).

82341700 is an abundant number, since it is smaller than the sum of its proper divisors (124589500).

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

82341700 is a wasteful number, since it uses less digits than its factorization.

82341700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 82341700 is about 9074.2327499354. The cubic root of 82341700 is about 435.0507713673.

The spelling of 82341700 in words is "eighty-two million, three hundred forty-one thousand, seven hundred".