82385100 has 180 divisors, whose sum is σ = 305421424. Its totient is φ = 18817920.

The previous prime is 82385089. The next prime is 82385117. The reversal of 82385100 is 158328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55974 + ... + 57426.

Almost surely, 2^82385100 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 82385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152710712).

82385100 is an abundant number, since it is smaller than the sum of its proper divisors (223036324).

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

82385100 is a wasteful number, since it uses less digits than its factorization.

82385100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82385100 is about 9076.6238216641. The cubic root of 82385100 is about 435.1271922946.

The spelling of 82385100 in words is "eighty-two million, three hundred eighty-five thousand, one hundred".