85200167 has 6 divisors (see below), whose sum is σ = 92258352. Its totient is φ = 78646152.

The previous prime is 85200149. The next prime is 85200169. The reversal of 85200167 is 76100258.

It is a de Polignac number, because none of the positive numbers 2^k-85200167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200169) 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 5 ways as a sum of consecutive naturals, for example, 251903 + ... + 252240.

It is an arithmetic number, because the mean of its divisors is an integer number (15376392).

Almost surely, 2^85200167 is an apocalyptic number.

85200167 is a deficient number, since it is larger than the sum of its proper divisors (7058185).

85200167 is a wasteful number, since it uses less digits than its factorization.

85200167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504169 (or 504156 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 85200167 is about 9230.3936535773. The cubic root of 85200167 is about 440.0278339830.

Subtracting from 85200167 its reverse (76100258), we obtain a palindrome (9099909).

The spelling of 85200167 in words is "eighty-five million, two hundred thousand, one hundred sixty-seven".