85267971 has 24 divisors (see below), whose sum is σ = 135246384. Its totient is φ = 53498880.

The previous prime is 85267967. The next prime is 85267993. The reversal of 85267971 is 17976258.

It is not a de Polignac number, because 85267971 - 2² = 85267967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85267901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6190 + ... + 14451.

It is an arithmetic number, because the mean of its divisors is an integer number (5635266).

Almost surely, 2^85267971 is an apocalyptic number.

85267971 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85267971 is a deficient number, since it is larger than the sum of its proper divisors (49978413).

85267971 is a wasteful number, since it uses less digits than its factorization.

85267971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20673 (or 20661 counting only the distinct ones).

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

The square root of 85267971 is about 9234.0657892393. The cubic root of 85267971 is about 440.1445306876.

The spelling of 85267971 in words is "eighty-five million, two hundred sixty-seven thousand, nine hundred seventy-one".