82498000 has 160 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 28684800.

The previous prime is 82497949. The next prime is 82498001. The reversal of 82498000 is 89428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82498001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493917 + ... + 494083.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^82498000 is an apocalyptic number.

82498000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

82498000 is an abundant number, since it is smaller than the sum of its proper divisors (144987440).

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

82498000 is a wasteful number, since it uses less digits than its factorization.

82498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 82498000 is about 9082.8409652487. The cubic root of 82498000 is about 435.3258667170.

The spelling of 82498000 in words is "eighty-two million, four hundred ninety-eight thousand".