10005693 has 8 divisors (see below), whose sum is σ = 13359648. Its totient is φ = 6661104.

The previous prime is 10005683. The next prime is 10005703. The reversal of 10005693 is 39650001.

It is an interprime number because it is at equal distance from previous prime (10005683) and next prime (10005703).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005693 - 2⁵ = 10005661 is a prime.

It is a super-2 number, since 2×10005693² = 200227784820498, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730 + ... + 4532.

It is an arithmetic number, because the mean of its divisors is an integer number (1669956).

Almost surely, 2^10005693 is an apocalyptic number.

It is an amenable number.

10005693 is a deficient number, since it is larger than the sum of its proper divisors (3353955).

10005693 is an equidigital number, since it uses as much as digits as its factorization.

10005693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 10005693 is about 3163.1776744280. The cubic root of 10005693 is about 215.4843452362.

Adding to 10005693 its reverse (39650001), we get a palindrome (49655694).

The spelling of 10005693 in words is "ten million, five thousand, six hundred ninety-three".