81953 has 2 divisors, whose sum is σ = 81954. Its totient is φ = 81952.

The previous prime is 81943. The next prime is 81967. The reversal of 81953 is 35918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 20449 = 248^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 81953 - 2⁴ = 81937 is a prime.

It is not a weakly prime, because it can be changed into another prime (81943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40976 + 40977.

It is an arithmetic number, because the mean of its divisors is an integer number (40977).

2⁸¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

81953 is a deficient number, since it is larger than the sum of its proper divisors (1).

81953 is an equidigital number, since it uses as much as digits as its factorization.

81953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 26.

The square root of 81953 is about 286.2743439430. The cubic root of 81953 is about 43.4365128392.

The spelling of 81953 in words is "eighty-one thousand, nine hundred fifty-three".