85974791 has 16 divisors (see below), whose sum is σ = 106229760. Its totient is φ = 67923360.

The previous prime is 85974787. The next prime is 85974793. The reversal of 85974791 is 19747958.

85974791 = T₄ + T₅ + ... + T₈₀₁.

It is a cyclic number.

It is not a de Polignac number, because 85974791 - 2² = 85974787 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85974793) 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, 3815 + ... + 13656.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2^85974791 is an apocalyptic number.

85974791 is a deficient number, since it is larger than the sum of its proper divisors (20254969).

85974791 is a wasteful number, since it uses less digits than its factorization.

85974791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534.

The product of its digits is 635040, while the sum is 50.

The square root of 85974791 is about 9272.2592176880. The cubic root of 85974791 is about 441.3573630949.

The spelling of 85974791 in words is "eighty-five million, nine hundred seventy-four thousand, seven hundred ninety-one".