4193136 has 60 divisors (see below), whose sum is σ = 12067432. Its totient is φ = 1358208.

The previous prime is 4193131. The next prime is 4193141. The reversal of 4193136 is 6313914.

It is an interprime number because it is at equal distance from previous prime (4193131) and next prime (4193141).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4193131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4935 + ... + 5721.

Almost surely, 2^4193136 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 4193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033716).

4193136 is an abundant number, since it is smaller than the sum of its proper divisors (7874296).

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

4193136 is a wasteful number, since it uses less digits than its factorization.

4193136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 829 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4193136 is about 2047.7148238952. The cubic root of 4193136 is about 161.2549232317.

The spelling of 4193136 in words is "four million, one hundred ninety-three thousand, one hundred thirty-six".