82153 has 2 divisors, whose sum is σ = 82154. Its totient is φ = 82152.

The previous prime is 82141. The next prime is 82163. The reversal of 82153 is 35128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 23104 = 243^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 82153 - 2¹³ = 73961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82153.

It is not a weakly prime, because it can be changed into another prime (82163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41076 + 41077.

It is an arithmetic number, because the mean of its divisors is an integer number (41077).

2⁸²¹⁵³ is an apocalyptic number.

It is an amenable number.

82153 is a deficient number, since it is larger than the sum of its proper divisors (1).

82153 is an equidigital number, since it uses as much as digits as its factorization.

82153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 82153 is about 286.6234463543. The cubic root of 82153 is about 43.4718186252.

The spelling of 82153 in words is "eighty-two thousand, one hundred fifty-three".