84857 has 2 divisors, whose sum is σ = 84858. Its totient is φ = 84856.

The previous prime is 84827. The next prime is 84859. The reversal of 84857 is 75848.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 19321 = 256^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 84857 - 2⁶ = 84793 is a prime.

Together with 84859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (84859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42428 + 42429.

It is an arithmetic number, because the mean of its divisors is an integer number (42429).

2⁸⁴⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

84857 is a deficient number, since it is larger than the sum of its proper divisors (1).

84857 is an equidigital number, since it uses as much as digits as its factorization.

84857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8960, while the sum is 32.

The square root of 84857 is about 291.3022485323. The cubic root of 84857 is about 43.9436261504.

Subtracting from 84857 its reverse (75848), we obtain a palindrome (9009).

It can be divided in two parts, 8485 and 7, that multiplied together give a palindrome (59395).

The spelling of 84857 in words is "eighty-four thousand, eight hundred fifty-seven".