82395500 has 96 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 29400000.

The previous prime is 82395487. The next prime is 82395503. The reversal of 82395500 is 559328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82395503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390395 + ... + 390605.

It is an arithmetic number, because the mean of its divisors is an integer number (2083536).

Almost surely, 2^82395500 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 82395500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

82395500 is an abundant number, since it is smaller than the sum of its proper divisors (117623956).

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

82395500 is a wasteful number, since it uses less digits than its factorization.

82395500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 82395500 is about 9077.1967038288. The cubic root of 82395500 is about 435.1455011570.

The spelling of 82395500 in words is "eighty-two million, three hundred ninety-five thousand, five hundred".