82492300 has 72 divisors (see below), whose sum is σ = 205611840. Its totient is φ = 28411200.

The previous prime is 82492297. The next prime is 82492303. The reversal of 82492300 is 329428.

It is an interprime number because it is at equal distance from previous prime (82492297) and next prime (82492303).

It is not an unprimeable number, because it can be changed into a prime (82492303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18927 + ... + 22873.

It is an arithmetic number, because the mean of its divisors is an integer number (2855720).

Almost surely, 2^82492300 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 82492300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102805920).

82492300 is an abundant number, since it is smaller than the sum of its proper divisors (123119540).

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

82492300 is a wasteful number, since it uses less digits than its factorization.

82492300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 82492300 is about 9082.5271813521. The cubic root of 82492300 is about 435.3158405564.

The spelling of 82492300 in words is "eighty-two million, four hundred ninety-two thousand, three hundred".