85293281 has 2 divisors, whose sum is σ = 85293282. Its totient is φ = 85293280.

The previous prime is 85293253. The next prime is 85293283. The reversal of 85293281 is 18239258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74995600 + 10297681 = 8660^2 + 3209^2 .

It is a cyclic number.

It is not a de Polignac number, because 85293281 - 2²⁶ = 18184417 is a prime.

It is a super-2 number, since 2×85293281² = 14549887567489922, which contains 22 as substring.

Together with 85293283, 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 (85293283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42646640 + 42646641.

It is an arithmetic number, because the mean of its divisors is an integer number (42646641).

Almost surely, 2^85293281 is an apocalyptic number.

It is an amenable number.

85293281 is a deficient number, since it is larger than the sum of its proper divisors (1).

85293281 is an equidigital number, since it uses as much as digits as its factorization.

85293281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 38.

The square root of 85293281 is about 9235.4361564574. The cubic root of 85293281 is about 440.1880755884.

The spelling of 85293281 in words is "eighty-five million, two hundred ninety-three thousand, two hundred eighty-one".