82354104 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 22680000.

The previous prime is 82354079. The next prime is 82354127. The reversal of 82354104 is 40145328.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327979 + ... + 328229.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^82354104 is an apocalyptic number.

82354104 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 82354104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

82354104 is an abundant number, since it is smaller than the sum of its proper divisors (193434696).

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

82354104 is a wasteful number, since it uses less digits than its factorization.

82354104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82354104 is about 9074.9161979602. The cubic root of 82354104 is about 435.0726157014.

The spelling of 82354104 in words is "eighty-two million, three hundred fifty-four thousand, one hundred four".