82921104 has 160 divisors (see below), whose sum is σ = 288195840. Its totient is φ = 22284288.

The previous prime is 82921103. The next prime is 82921109. The reversal of 82921104 is 40112928.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82921103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50602 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (1801224).

Almost surely, 2^82921104 is an apocalyptic number.

82921104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82921104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144097920).

82921104 is an abundant number, since it is smaller than the sum of its proper divisors (205274736).

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

82921104 is a wasteful number, since it uses less digits than its factorization.

82921104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82921104 is about 9106.1025691566. The cubic root of 82921104 is about 436.0688105070.

The spelling of 82921104 in words is "eighty-two million, nine hundred twenty-one thousand, one hundred four".