85949367 has 16 divisors (see below), whose sum is σ = 136665600. Its totient is φ = 46978272.

The previous prime is 85949317. The next prime is 85949377. The reversal of 85949367 is 76394958.

It is not a de Polignac number, because 85949367 - 2⁸ = 85949111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85949317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88492 + ... + 89457.

It is an arithmetic number, because the mean of its divisors is an integer number (8541600).

Almost surely, 2^85949367 is an apocalyptic number.

85949367 is a deficient number, since it is larger than the sum of its proper divisors (50716233).

85949367 is a wasteful number, since it uses less digits than its factorization.

85949367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177982.

The product of its digits is 1632960, while the sum is 51.

The square root of 85949367 is about 9270.8881451563. Note that the first 3 decimals coincide. The cubic root of 85949367 is about 441.3138535354.

The spelling of 85949367 in words is "eighty-five million, nine hundred forty-nine thousand, three hundred sixty-seven".