85738259 has 16 divisors (see below), whose sum is σ = 94688352. Its totient is φ = 77296128.

The previous prime is 85738231. The next prime is 85738267. The reversal of 85738259 is 95283758.

It is a cyclic number.

It is not a de Polignac number, because 85738259 - 2¹² = 85734163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85738559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37637 + ... + 39849.

It is an arithmetic number, because the mean of its divisors is an integer number (5918022).

Almost surely, 2^85738259 is an apocalyptic number.

85738259 is a deficient number, since it is larger than the sum of its proper divisors (8950093).

85738259 is a wasteful number, since it uses less digits than its factorization.

85738259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326.

The product of its digits is 604800, while the sum is 47.

The square root of 85738259 is about 9259.4956126130. The cubic root of 85738259 is about 440.9522403772.

The spelling of 85738259 in words is "eighty-five million, seven hundred thirty-eight thousand, two hundred fifty-nine".