10006633 has 24 divisors (see below), whose sum is σ = 13099968. Its totient is φ = 7562016.

The previous prime is 10006631. The next prime is 10006643. The reversal of 10006633 is 33660001.

It is a happy number.

It is not a de Polignac number, because 10006633 - 2¹ = 10006631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006633.

It is not an unprimeable number, because it can be changed into a prime (10006631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14310 + ... + 14992.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 2^10006633 is an apocalyptic number.

10006633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10006633 is a deficient number, since it is larger than the sum of its proper divisors (3093335).

10006633 is a wasteful number, since it uses less digits than its factorization.

10006633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 10006633 is about 3163.3262556998. The cubic root of 10006633 is about 215.4910930261.

Adding to 10006633 its reverse (33660001), we get a palindrome (43666634).

The spelling of 10006633 in words is "ten million, six thousand, six hundred thirty-three".