85735293 has 16 divisors (see below), whose sum is σ = 131994240. Its totient is φ = 48485376.

The previous prime is 85735261. The next prime is 85735337. The reversal of 85735293 is 39253758.

It is not a de Polignac number, because 85735293 - 2⁵ = 85735261 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85735193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19008 + ... + 23081.

It is an arithmetic number, because the mean of its divisors is an integer number (8249640).

Almost surely, 2^85735293 is an apocalyptic number.

It is an amenable number.

85735293 is a deficient number, since it is larger than the sum of its proper divisors (46258947).

85735293 is a wasteful number, since it uses less digits than its factorization.

85735293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42196.

The product of its digits is 226800, while the sum is 42.

The square root of 85735293 is about 9259.3354513161. The cubic root of 85735293 is about 440.9471556015.

The spelling of 85735293 in words is "eighty-five million, seven hundred thirty-five thousand, two hundred ninety-three".