8261 has 4 divisors (see below), whose sum is σ = 9024. Its totient is φ = 7500.

The previous prime is 8243. The next prime is 8263. The reversal of 8261 is 1628.

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.

It is a cyclic number.

It is not a de Polignac number, because 8261 - 2¹⁰ = 7237 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8263) 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, 365 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (2256).

2⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

8261 is a deficient number, since it is larger than the sum of its proper divisors (763).

8261 is a wasteful number, since it uses less digits than its factorization.

8261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762.

The product of its digits is 96, while the sum is 17.

The square root of 8261 is about 90.8900434591. The cubic root of 8261 is about 20.2151766481.

Adding to 8261 its reverse (1628), we get a palindrome (9889).

The spelling of 8261 in words is "eight thousand, two hundred sixty-one".