84300257 has 2 divisors, whose sum is σ = 84300258. Its totient is φ = 84300256.

The previous prime is 84300233. The next prime is 84300259. The reversal of 84300257 is 75200348.

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., 80442961 + 3857296 = 8969^2 + 1964^2 .

It is a cyclic number.

It is not a de Polignac number, because 84300257 - 2¹⁰ = 84299233 is a prime.

Together with 84300259, 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 (84300259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42150128 + 42150129.

It is an arithmetic number, because the mean of its divisors is an integer number (42150129).

Almost surely, 2^84300257 is an apocalyptic number.

It is an amenable number.

84300257 is a deficient number, since it is larger than the sum of its proper divisors (1).

84300257 is an equidigital number, since it uses as much as digits as its factorization.

84300257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 84300257 is about 9181.5171404295. The cubic root of 84300257 is about 438.4731114441.

Subtracting from 84300257 its reverse (75200348), we obtain a palindrome (9099909).

The spelling of 84300257 in words is "eighty-four million, three hundred thousand, two hundred fifty-seven".