10004192 has 48 divisors (see below), whose sum is σ = 21781872. Its totient is φ = 4485120.

The previous prime is 10004191. The next prime is 10004201. The reversal of 10004192 is 29140001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10004192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33998 + ... + 34290.

It is an arithmetic number, because the mean of its divisors is an integer number (453789).

Almost surely, 2^10004192 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 10004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890936).

10004192 is an abundant number, since it is smaller than the sum of its proper divisors (11777680).

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

10004192 is a wasteful number, since it uses less digits than its factorization.

10004192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10004192 is about 3162.9404041177. The cubic root of 10004192 is about 215.4735694316.

Adding to 10004192 its reverse (29140001), we get a palindrome (39144193).

The spelling of 10004192 in words is "ten million, four thousand, one hundred ninety-two".