82825400 has 96 divisors (see below), whose sum is σ = 223616640. Its totient is φ = 27941760.

The previous prime is 82825367. The next prime is 82825423. The reversal of 82825400 is 452828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93359 + ... + 94241.

It is an arithmetic number, because the mean of its divisors is an integer number (2329340).

Almost surely, 2^82825400 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 82825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111808320).

82825400 is an abundant number, since it is smaller than the sum of its proper divisors (140791240).

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

82825400 is a wasteful number, since it uses less digits than its factorization.

82825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 82825400 is about 9100.8461145105. The cubic root of 82825400 is about 435.9009819189.

The spelling of 82825400 in words is "eighty-two million, eight hundred twenty-five thousand, four hundred".