85629201 has 16 divisors (see below), whose sum is σ = 131683200. Its totient is φ = 48480768.

The previous prime is 85629169. The next prime is 85629209. The reversal of 85629201 is 10292658.

It is not a de Polignac number, because 85629201 - 2⁵ = 85629169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85629209) 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, 16416 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (8230200).

Almost surely, 2^85629201 is an apocalyptic number.

It is an amenable number.

85629201 is a deficient number, since it is larger than the sum of its proper divisors (46053999).

85629201 is a wasteful number, since it uses less digits than its factorization.

85629201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37528.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85629201 is about 9253.6047570663. The cubic root of 85629201 is about 440.7651991266.

The spelling of 85629201 in words is "eighty-five million, six hundred twenty-nine thousand, two hundred one".