82643100 has 72 divisors (see below), whose sum is σ = 242067840. Its totient is φ = 21766080.

The previous prime is 82643063. The next prime is 82643101. The reversal of 82643100 is 134628.

It is a happy number.

It is a super-2 number, since 2×82643100² = 13659763955220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82643101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23241 + ... + 26559.

Almost surely, 2^82643100 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 82643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121033920).

82643100 is an abundant number, since it is smaller than the sum of its proper divisors (159424740).

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

82643100 is a wasteful number, since it uses less digits than its factorization.

82643100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 82643100 is about 9090.8250450660. The cubic root of 82643100 is about 435.5809387057.

Adding to 82643100 its reverse (134628), we get a palindrome (82777728).

The spelling of 82643100 in words is "eighty-two million, six hundred forty-three thousand, one hundred".