82961 has 4 divisors (see below), whose sum is σ = 86592. Its totient is φ = 79332.

The previous prime is 82939. The next prime is 82963. The reversal of 82961 is 16928.

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 82961 - 2¹⁰ = 81937 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 82961.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82961.

It is not an unprimeable number, because it can be changed into a prime (82963) 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, 1781 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (21648).

2⁸²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

82961 is a deficient number, since it is larger than the sum of its proper divisors (3631).

82961 is a wasteful number, since it uses less digits than its factorization.

82961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630.

The product of its digits is 864, while the sum is 26.

The square root of 82961 is about 288.0295123768. The cubic root of 82961 is about 43.6138734853.

The spelling of 82961 in words is "eighty-two thousand, nine hundred sixty-one".