86800253 has 2 divisors, whose sum is σ = 86800254. Its totient is φ = 86800252.

The previous prime is 86800243. The next prime is 86800289. The reversal of 86800253 is 35200868.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44328964 + 42471289 = 6658^2 + 6517^2 .

It is a cyclic number.

It is not a de Polignac number, because 86800253 - 2⁴ = 86800237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86800213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43400126 + 43400127.

It is an arithmetic number, because the mean of its divisors is an integer number (43400127).

Almost surely, 2^86800253 is an apocalyptic number.

It is an amenable number.

86800253 is a deficient number, since it is larger than the sum of its proper divisors (1).

86800253 is an equidigital number, since it uses as much as digits as its factorization.

86800253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 86800253 is about 9316.6653369111. The cubic root of 86800253 is about 442.7653879527.

The spelling of 86800253 in words is "eighty-six million, eight hundred thousand, two hundred fifty-three".