85838053 has 12 divisors (see below), whose sum is σ = 100365600. Its totient is φ = 73197432.

The previous prime is 85838033. The next prime is 85838063. The reversal of 85838053 is 35083858.

It is not a de Polignac number, because 85838053 - 2⁵ = 85838021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85837997 and 85838015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5350 + ... + 14152.

It is an arithmetic number, because the mean of its divisors is an integer number (8363800).

Almost surely, 2^85838053 is an apocalyptic number.

It is an amenable number.

85838053 is a deficient number, since it is larger than the sum of its proper divisors (14527547).

85838053 is a wasteful number, since it uses less digits than its factorization.

85838053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 85838053 is about 9264.8827839320. The cubic root of 85838053 is about 441.1232543703.

The spelling of 85838053 in words is "eighty-five million, eight hundred thirty-eight thousand, fifty-three".