82253004 has 48 divisors (see below), whose sum is σ = 204374016. Its totient is φ = 25657600.

The previous prime is 82252997. The next prime is 82253027. The reversal of 82253004 is 40035228.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37909 + ... + 40019.

It is an arithmetic number, because the mean of its divisors is an integer number (4257792).

Almost surely, 2^82253004 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 82253004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

82253004 is an abundant number, since it is smaller than the sum of its proper divisors (122121012).

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

82253004 is a wasteful number, since it uses less digits than its factorization.

82253004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82253004 is about 9069.3441879774. The cubic root of 82253004 is about 434.8945073823.

The spelling of 82253004 in words is "eighty-two million, two hundred fifty-three thousand, four".