83261 has 4 divisors (see below), whose sum is σ = 84000. Its totient is φ = 82524.

The previous prime is 83257. The next prime is 83267. The reversal of 83261 is 16238.

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 a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 83261 - 2² = 83257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83267) 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, 161 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2⁸³²⁶¹ is an apocalyptic number.

It is an amenable number.

83261 is a deficient number, since it is larger than the sum of its proper divisors (739).

83261 is a wasteful number, since it uses less digits than its factorization.

83261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its digits is 288, while the sum is 20.

The square root of 83261 is about 288.5498223877. The cubic root of 83261 is about 43.6663817811. Note that the first 3 decimals are identical.

Adding to 83261 its reverse (16238), we get a palindrome (99499).

The spelling of 83261 in words is "eighty-three thousand, two hundred sixty-one".