82981 has 2 divisors, whose sum is σ = 82982. Its totient is φ = 82980.

The previous prime is 82963. The next prime is 82997. The reversal of 82981 is 18928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 17956 = 255^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 82981 - 2⁹ = 82469 is a prime.

It is a super-2 number, since 2×82981² = 13771692722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41490 + 41491.

It is an arithmetic number, because the mean of its divisors is an integer number (41491).

2⁸²⁹⁸¹ is an apocalyptic number.

It is an amenable number.

82981 is a deficient number, since it is larger than the sum of its proper divisors (1).

82981 is an equidigital number, since it uses as much as digits as its factorization.

82981 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 28.

The square root of 82981 is about 288.0642289490. The cubic root of 82981 is about 43.6173779729.

The spelling of 82981 in words is "eighty-two thousand, nine hundred eighty-one".