5005936 has 40 divisors (see below), whose sum is σ = 10718064. Its totient is φ = 2250240.

The previous prime is 5005933. The next prime is 5005961. The reversal of 5005936 is 6395005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005933) 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, 8235 + ... + 8821.

Almost surely, 2^5005936 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 5005936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359032).

5005936 is an abundant number, since it is smaller than the sum of its proper divisors (5712128).

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

5005936 is a wasteful number, since it uses less digits than its factorization.

5005936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 5005936 is about 2237.3949137334. The cubic root of 5005936 is about 171.0652373544.

The spelling of 5005936 in words is "five million, five thousand, nine hundred thirty-six".