85837853 has 16 divisors (see below), whose sum is σ = 91101696. Its totient is φ = 80766720.

The previous prime is 85837849. The next prime is 85837867. The reversal of 85837853 is 35873858.

It is a cyclic number.

It is not a de Polignac number, because 85837853 - 2² = 85837849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85837798 and 85837807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85837823) 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 15 ways as a sum of consecutive naturals, for example, 187601 + ... + 188057.

It is an arithmetic number, because the mean of its divisors is an integer number (5693856).

Almost surely, 2^85837853 is an apocalyptic number.

85837853 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

85837853 is a deficient number, since it is larger than the sum of its proper divisors (5263843).

85837853 is a wasteful number, since it uses less digits than its factorization.

85837853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its digits is 806400, while the sum is 47.

The square root of 85837853 is about 9264.8719904810. The cubic root of 85837853 is about 441.1229117689.

The spelling of 85837853 in words is "eighty-five million, eight hundred thirty-seven thousand, eight hundred fifty-three".