82374192 has 80 divisors (see below), whose sum is σ = 244111360. Its totient is φ = 26568000.

The previous prime is 82374191. The next prime is 82374209. The reversal of 82374192 is 29147328.

82374192 is a `hidden beast` number, since 8 + 237 + 419 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82374191) by changing a digit.

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, 10317 + ... + 16467.

It is an arithmetic number, because the mean of its divisors is an integer number (3051392).

Almost surely, 2^82374192 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 82374192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122055680).

82374192 is an abundant number, since it is smaller than the sum of its proper divisors (161737168).

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

82374192 is a wasteful number, since it uses less digits than its factorization.

82374192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6187 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82374192 is about 9076.0229175559. The cubic root of 82374192 is about 435.1079874589.

The spelling of 82374192 in words is "eighty-two million, three hundred seventy-four thousand, one hundred ninety-two".