85971295 has 16 divisors (see below), whose sum is σ = 114985440. Its totient is φ = 61323264.

The previous prime is 85971293. The next prime is 85971299. The reversal of 85971295 is 59217958.

It is a cyclic number.

It is not a de Polignac number, because 85971295 - 2¹ = 85971293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85971293) 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 15 ways as a sum of consecutive naturals, for example, 25002 + ... + 28231.

It is an arithmetic number, because the mean of its divisors is an integer number (7186590).

Almost surely, 2^85971295 is an apocalyptic number.

85971295 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85971295 is a deficient number, since it is larger than the sum of its proper divisors (29014145).

85971295 is a wasteful number, since it uses less digits than its factorization.

85971295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53274.

The product of its digits is 226800, while the sum is 46.

The square root of 85971295 is about 9272.0706964518. The cubic root of 85971295 is about 441.3513806969.

The spelling of 85971295 in words is "eighty-five million, nine hundred seventy-one thousand, two hundred ninety-five".