82935900 has 108 divisors (see below), whose sum is σ = 269665032. Its totient is φ = 22109760.

The previous prime is 82935869. The next prime is 82935901. The reversal of 82935900 is 953928.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82935901) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22594 + ... + 26006.

Almost surely, 2^82935900 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 82935900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134832516).

82935900 is an abundant number, since it is smaller than the sum of its proper divisors (186729132).

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

82935900 is a wasteful number, since it uses less digits than its factorization.

82935900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 82935900 is about 9106.9149551316. The cubic root of 82935900 is about 436.0947455629.

The spelling of 82935900 in words is "eighty-two million, nine hundred thirty-five thousand, nine hundred".