85973249 has 2 divisors, whose sum is σ = 85973250. Its totient is φ = 85973248.

The previous prime is 85973227. The next prime is 85973291. The reversal of 85973249 is 94237958.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77563249 + 8410000 = 8807^2 + 2900^2 .

It is a cyclic number.

It is not a de Polignac number, because 85973249 - 2¹⁶ = 85907713 is a prime.

It is not a weakly prime, because it can be changed into another prime (85973219) 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, 42986624 + 42986625.

It is an arithmetic number, because the mean of its divisors is an integer number (42986625).

Almost surely, 2^85973249 is an apocalyptic number.

It is an amenable number.

85973249 is a deficient number, since it is larger than the sum of its proper divisors (1).

85973249 is an equidigital number, since it uses as much as digits as its factorization.

85973249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 47.

The square root of 85973249 is about 9272.1760660591. The cubic root of 85973249 is about 441.3547244256.

The spelling of 85973249 in words is "eighty-five million, nine hundred seventy-three thousand, two hundred forty-nine".