82199700 has 324 divisors, whose sum is σ = 309542688. Its totient is φ = 18057600.

The previous prime is 82199699. The next prime is 82199713. The reversal of 82199700 is 799128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3573889 + ... + 3573911.

Almost surely, 2^82199700 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 82199700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

82199700 is an abundant number, since it is smaller than the sum of its proper divisors (227342988).

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

82199700 is a wasteful number, since it uses less digits than its factorization.

82199700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 82199700 is about 9066.4050207345. The cubic root of 82199700 is about 434.8005427240.

The spelling of 82199700 in words is "eighty-two million, one hundred ninety-nine thousand, seven hundred".