5005635 has 16 divisors (see below), whose sum is σ = 8042496. Its totient is φ = 2658528.

The previous prime is 5005621. The next prime is 5005639. The reversal of 5005635 is 5365005.

It is not a de Polignac number, because 5005635 - 2¹⁰ = 5004611 is a prime.

5005635 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5005639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 5148.

It is an arithmetic number, because the mean of its divisors is an integer number (502656).

Almost surely, 2^5005635 is an apocalyptic number.

5005635 is a deficient number, since it is larger than the sum of its proper divisors (3036861).

5005635 is a wasteful number, since it uses less digits than its factorization.

5005635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5005635 is about 2237.3276469932. The cubic root of 5005635 is about 171.0618086471.

The spelling of 5005635 in words is "five million, five thousand, six hundred thirty-five".