82450992 has 80 divisors (see below), whose sum is σ = 230783840. Its totient is φ = 25214976.

The previous prime is 82450967. The next prime is 82451009. The reversal of 82450992 is 29905428.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82450992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142608 + ... + 143184.

It is an arithmetic number, because the mean of its divisors is an integer number (2884798).

Almost surely, 2^82450992 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 82450992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115391920).

82450992 is an abundant number, since it is smaller than the sum of its proper divisors (148332848).

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

82450992 is a wasteful number, since it uses less digits than its factorization.

82450992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 82450992 is about 9080.2528599153. The cubic root of 82450992 is about 435.2431669894.

The spelling of 82450992 in words is "eighty-two million, four hundred fifty thousand, nine hundred ninety-two".