82457 has 2 divisors, whose sum is σ = 82458. Its totient is φ = 82456.

The previous prime is 82421. The next prime is 82463. The reversal of 82457 is 75428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 15376 = 259^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 82457 - 2⁶ = 82393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41228 + 41229.

It is an arithmetic number, because the mean of its divisors is an integer number (41229).

2⁸²⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

82457 is a deficient number, since it is larger than the sum of its proper divisors (1).

82457 is an equidigital number, since it uses as much as digits as its factorization.

82457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2240, while the sum is 26.

The square root of 82457 is about 287.1532691787. The cubic root of 82457 is about 43.5253738431.

The spelling of 82457 in words is "eighty-two thousand, four hundred fifty-seven".