85001993 has 4 divisors (see below), whose sum is σ = 85493508. Its totient is φ = 84510480.

The previous prime is 85001963. The next prime is 85001999. The reversal of 85001993 is 39910058.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39910058 = 2 ⋅19955029.

It can be written as a sum of positive squares in 2 ways, for example, as 51222649 + 33779344 = 7157^2 + 5812^2 .

It is a cyclic number.

It is not a de Polignac number, because 85001993 - 2²⁰ = 83953417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85001999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 245498 + ... + 245843.

It is an arithmetic number, because the mean of its divisors is an integer number (21373377).

Almost surely, 2^85001993 is an apocalyptic number.

It is an amenable number.

85001993 is a deficient number, since it is larger than the sum of its proper divisors (491515).

85001993 is a wasteful number, since it uses less digits than its factorization.

85001993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491514.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 85001993 is about 9219.6525422599. The cubic root of 85001993 is about 439.6864036131.

The spelling of 85001993 in words is "eighty-five million, one thousand, nine hundred ninety-three".