85972671 has 12 divisors (see below), whose sum is σ = 128782472. Its totient is φ = 57314952.

The previous prime is 85972661. The next prime is 85972687. The reversal of 85972671 is 17627958.

It is not a de Polignac number, because 85972671 - 2⁵ = 85972639 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 (85972651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176656 + ... + 177141.

Almost surely, 2^85972671 is an apocalyptic number.

85972671 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85972671 is a deficient number, since it is larger than the sum of its proper divisors (42809801).

85972671 is an equidigital number, since it uses as much as digits as its factorization.

85972671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353812 (or 353800 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 85972671 is about 9272.1448974873. The cubic root of 85972671 is about 441.3537353443.

The spelling of 85972671 in words is "eighty-five million, nine hundred seventy-two thousand, six hundred seventy-one".