85761153 has 16 divisors (see below), whose sum is σ = 130488960. Its totient is φ = 55628208.

The previous prime is 85761133. The next prime is 85761163. The reversal of 85761153 is 35116758.

It is not a de Polignac number, because 85761153 - 2¹² = 85757057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85761133) 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 in 15 ways as a sum of consecutive naturals, for example, 41925 + ... + 43922.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^85761153 is an apocalyptic number.

It is an amenable number.

85761153 is a deficient number, since it is larger than the sum of its proper divisors (44727807).

85761153 is a wasteful number, since it uses less digits than its factorization.

85761153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85893 (or 85887 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 85761153 is about 9260.7317745414. The cubic root of 85761153 is about 440.9914848650.

The spelling of 85761153 in words is "eighty-five million, seven hundred sixty-one thousand, one hundred fifty-three".