85732393 has 2 divisors, whose sum is σ = 85732394. Its totient is φ = 85732392.

The previous prime is 85732379. The next prime is 85732403. The reversal of 85732393 is 39323758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72131049 + 13601344 = 8493^2 + 3688^2 .

It is a cyclic number.

It is not a de Polignac number, because 85732393 - 2⁹ = 85731881 is a prime.

It is equal to p_4983808 and since 85732393 and 4983808 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85732363) 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, 42866196 + 42866197.

It is an arithmetic number, because the mean of its divisors is an integer number (42866197).

Almost surely, 2^85732393 is an apocalyptic number.

It is an amenable number.

85732393 is a deficient number, since it is larger than the sum of its proper divisors (1).

85732393 is an equidigital number, since it uses as much as digits as its factorization.

85732393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 40.

The square root of 85732393 is about 9259.1788512805. The cubic root of 85732393 is about 440.9421838599.

The spelling of 85732393 in words is "eighty-five million, seven hundred thirty-two thousand, three hundred ninety-three".