85101643 has 16 divisors (see below), whose sum is σ = 99501696. Its totient is φ = 71923840.

The previous prime is 85101617. The next prime is 85101673. The reversal of 85101643 is 34610158.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85101643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85101673) 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, 12780 + ... + 18262.

It is an arithmetic number, because the mean of its divisors is an integer number (6218856).

Almost surely, 2^85101643 is an apocalyptic number.

85101643 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

85101643 is a deficient number, since it is larger than the sum of its proper divisors (14400053).

85101643 is a wasteful number, since it uses less digits than its factorization.

85101643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 85101643 is about 9225.0551759868. The cubic root of 85101643 is about 439.8581550352.

It can be divided in two parts, 8510 and 1643, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 85101643 in words is "eighty-five million, one hundred one thousand, six hundred forty-three".