86824261 has 2 divisors, whose sum is σ = 86824262. Its totient is φ = 86824260.

The previous prime is 86824193. The next prime is 86824271. The reversal of 86824261 is 16242868.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85211361 + 1612900 = 9231^2 + 1270^2 .

It is a cyclic number.

It is not a de Polignac number, because 86824261 - 2¹³ = 86816069 is a prime.

It is a super-2 number, since 2×86824261² = 15076904596392242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86824261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86824271) 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, 43412130 + 43412131.

It is an arithmetic number, because the mean of its divisors is an integer number (43412131).

Almost surely, 2^86824261 is an apocalyptic number.

It is an amenable number.

86824261 is a deficient number, since it is larger than the sum of its proper divisors (1).

86824261 is an equidigital number, since it uses as much as digits as its factorization.

86824261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 37.

The square root of 86824261 is about 9317.9536916643. The cubic root of 86824261 is about 442.8062055432.

The spelling of 86824261 in words is "eighty-six million, eight hundred twenty-four thousand, two hundred sixty-one".