10005653 has 16 divisors (see below), whose sum is σ = 12057600. Its totient is φ = 8290800.

The previous prime is 10005641. The next prime is 10005661. The reversal of 10005653 is 35650001.

It is not a de Polignac number, because 10005653 - 2¹⁰ = 10004629 is a prime.

It is a super-2 number, since 2×10005653² = 200226183912818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10163 + ... + 11103.

It is an arithmetic number, because the mean of its divisors is an integer number (753600).

Almost surely, 2^10005653 is an apocalyptic number.

It is an amenable number.

10005653 is a deficient number, since it is larger than the sum of its proper divisors (2051947).

10005653 is an frugal number, since it uses more digits than its factorization.

10005653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 10005653 is about 3163.1713516659. The cubic root of 10005653 is about 215.4840580868.

Adding to 10005653 its reverse (35650001), we get a palindrome (45655654).

The spelling of 10005653 in words is "ten million, five thousand, six hundred fifty-three".