10291 has 4 divisors (see below), whose sum is σ = 10584. Its totient is φ = 10000.

The previous prime is 10289. The next prime is 10301. The reversal of 10291 is 19201.

It is a semiprime because it is the product of two primes.

It is a 4-Lehmer number, since φ(10291) divides (10291-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 10291 - 2¹ = 10289 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

10291 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10291.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2¹⁰²⁹¹ is an apocalyptic number.

10291 is a deficient number, since it is larger than the sum of its proper divisors (293).

10291 is an equidigital number, since it uses as much as digits as its factorization.

10291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10291 is about 101.4445661433. Note that the first 3 decimals coincide. The cubic root of 10291 is about 21.7513321067.

Adding to 10291 its reverse (19201), we get a palindrome (29492).

The spelling of 10291 in words is "ten thousand, two hundred ninety-one".