85972271 has 8 divisors (see below), whose sum is σ = 107186304. Its totient is φ = 66991320.

The previous prime is 85972219. The next prime is 85972273. The reversal of 85972271 is 17227958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85972271 - 2¹⁴ = 85955887 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 (85972273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558185 + ... + 558338.

It is an arithmetic number, because the mean of its divisors is an integer number (13398288).

Almost surely, 2^85972271 is an apocalyptic number.

85972271 is a deficient number, since it is larger than the sum of its proper divisors (21214033).

85972271 is a wasteful number, since it uses less digits than its factorization.

85972271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116541.

The product of its digits is 70560, while the sum is 41.

The square root of 85972271 is about 9272.1233274801. The cubic root of 85972271 is about 441.3530508564.

The spelling of 85972271 in words is "eighty-five million, nine hundred seventy-two thousand, two hundred seventy-one".