85294971 has 32 divisors (see below), whose sum is σ = 138816000. Its totient is φ = 51521184.

The previous prime is 85294969. The next prime is 85294973. The reversal of 85294971 is 17949258.

It is an interprime number because it is at equal distance from previous prime (85294969) and next prime (85294973).

It is not a de Polignac number, because 85294971 - 2¹ = 85294969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85294973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8185 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (4338000).

Almost surely, 2^85294971 is an apocalyptic number.

85294971 is a deficient number, since it is larger than the sum of its proper divisors (53521029).

85294971 is a wasteful number, since it uses less digits than its factorization.

85294971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7274 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 85294971 is about 9235.5276514122. The cubic root of 85294971 is about 440.1909828629.

The spelling of 85294971 in words is "eighty-five million, two hundred ninety-four thousand, nine hundred seventy-one".