85743427 has 32 divisors (see below), whose sum is σ = 116895744. Its totient is φ = 60825600.

The previous prime is 85743397. The next prime is 85743431. The reversal of 85743427 is 72434758.

It is not a de Polignac number, because 85743427 - 2¹¹ = 85741379 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85743427.

It is not an unprimeable number, because it can be changed into a prime (85743457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39523 + ... + 41635.

It is an arithmetic number, because the mean of its divisors is an integer number (3652992).

Almost surely, 2^85743427 is an apocalyptic number.

85743427 is a deficient number, since it is larger than the sum of its proper divisors (31152317).

85743427 is a wasteful number, since it uses less digits than its factorization.

85743427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179.

The product of its digits is 188160, while the sum is 40.

The square root of 85743427 is about 9259.7746732844. The cubic root of 85743427 is about 440.9610998813.

The spelling of 85743427 in words is "eighty-five million, seven hundred forty-three thousand, four hundred twenty-seven".