8214192 has 120 divisors (see below), whose sum is σ = 27275040. Its totient is φ = 2257920.

The previous prime is 8214181. The next prime is 8214209. The reversal of 8214192 is 2914128.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29092 + ... + 29372.

It is an arithmetic number, because the mean of its divisors is an integer number (227292).

Almost surely, 2^8214192 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 8214192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637520).

8214192 is an abundant number, since it is smaller than the sum of its proper divisors (19060848).

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

8214192 is a wasteful number, since it uses less digits than its factorization.

8214192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

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

The square root of 8214192 is about 2866.0411720699. The cubic root of 8214192 is about 201.7692361992.

The spelling of 8214192 in words is "eight million, two hundred fourteen thousand, one hundred ninety-two".