86824993 has 2 divisors, whose sum is σ = 86824994. Its totient is φ = 86824992.

The previous prime is 86824963. The next prime is 86824999. The reversal of 86824993 is 39942868.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 1595169 = 9232^2 + 1263^2 .

It is a cyclic number.

It is not a de Polignac number, because 86824993 - 2⁵ = 86824961 is a prime.

It is a super-3 number, since 3×86824993³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (86824999) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43412496 + 43412497.

It is an arithmetic number, because the mean of its divisors is an integer number (43412497).

Almost surely, 2^86824993 is an apocalyptic number.

It is an amenable number.

86824993 is a deficient number, since it is larger than the sum of its proper divisors (1).

86824993 is an equidigital number, since it uses as much as digits as its factorization.

86824993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 49.

The square root of 86824993 is about 9317.9929705919. The cubic root of 86824993 is about 442.8074499467.

The spelling of 86824993 in words is "eighty-six million, eight hundred twenty-four thousand, nine hundred ninety-three".