10261 has 4 divisors (see below), whose sum is σ = 10624. Its totient is φ = 9900.

The previous prime is 10259. The next prime is 10267. The reversal of 10261 is 16201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16201 = 17 ⋅953.

It is a cyclic number.

It is not a de Polignac number, because 10261 - 2¹ = 10259 is a prime.

It is a Duffinian number.

10261 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135 + ... + 196.

It is an arithmetic number, because the mean of its divisors is an integer number (2656).

It is a Poulet number, since it divides 2¹⁰²⁶⁰-1.

2¹⁰²⁶¹ is an apocalyptic number.

It is an amenable number.

10261 is a deficient number, since it is larger than the sum of its proper divisors (363).

10261 is an equidigital number, since it uses as much as digits as its factorization.

10261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10261 is about 101.2965942172. The cubic root of 10261 is about 21.7301752681.

Adding to 10261 its reverse (16201), we get a palindrome (26462).

The spelling of 10261 in words is "ten thousand, two hundred sixty-one".