85200695 has 16 divisors (see below), whose sum is σ = 106233120. Its totient is φ = 65520000.

The previous prime is 85200659. The next prime is 85200701. The reversal of 85200695 is 59600258.

It is not a de Polignac number, because 85200695 - 2⁸ = 85200439 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35225 + ... + 37565.

It is an arithmetic number, because the mean of its divisors is an integer number (6639570).

Almost surely, 2^85200695 is an apocalyptic number.

85200695 is a deficient number, since it is larger than the sum of its proper divisors (21032425).

85200695 is a wasteful number, since it uses less digits than its factorization.

85200695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 85200695 is about 9230.4222546967. The cubic root of 85200695 is about 440.0287429570.

The spelling of 85200695 in words is "eighty-five million, two hundred thousand, six hundred ninety-five".