82359400 has 48 divisors (see below), whose sum is σ = 192398400. Its totient is φ = 32786880.

The previous prime is 82359383. The next prime is 82359401. The reversal of 82359400 is 495328.

It is not an unprimeable number, because it can be changed into a prime (82359401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46939 + ... + 48661.

It is an arithmetic number, because the mean of its divisors is an integer number (4008300).

Almost surely, 2^82359400 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 82359400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96199200).

82359400 is an abundant number, since it is smaller than the sum of its proper divisors (110039000).

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

82359400 is a wasteful number, since it uses less digits than its factorization.

82359400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 82359400 is about 9075.2079865973. The cubic root of 82359400 is about 435.0819416693.

The spelling of 82359400 in words is "eighty-two million, three hundred fifty-nine thousand, four hundred".