82150992 has 240 divisors, whose sum is σ = 297123840. Its totient is φ = 20563200.

The previous prime is 82150979. The next prime is 82151033. The reversal of 82150992 is 29905128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 343609 + ... + 343847.

It is an arithmetic number, because the mean of its divisors is an integer number (1238016).

Almost surely, 2^82150992 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 82150992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

82150992 is an abundant number, since it is smaller than the sum of its proper divisors (214972848).

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

82150992 is a wasteful number, since it uses less digits than its factorization.

82150992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 82150992 is about 9063.7184422289. The cubic root of 82150992 is about 434.7146444003.

The spelling of 82150992 in words is "eighty-two million, one hundred fifty thousand, nine hundred ninety-two".