85193505 has 32 divisors (see below), whose sum is σ = 152678400. Its totient is φ = 45069696.

The previous prime is 85193501. The next prime is 85193527. The reversal of 85193505 is 50539158.

It is a happy number.

It is not a de Polignac number, because 85193505 - 2² = 85193501 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85193505.

It is not an unprimeable number, because it can be changed into a prime (85193501) 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 in 31 ways as a sum of consecutive naturals, for example, 14661 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (4771200).

Almost surely, 2^85193505 is an apocalyptic number.

It is an amenable number.

85193505 is a deficient number, since it is larger than the sum of its proper divisors (67484895).

85193505 is a wasteful number, since it uses less digits than its factorization.

85193505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 85193505 is about 9230.0327735063. The cubic root of 85193505 is about 440.0163647495.

The spelling of 85193505 in words is "eighty-five million, one hundred ninety-three thousand, five hundred five".