83806801 has 8 divisors (see below), whose sum is σ = 90754664. Its totient is φ = 76930560.

The previous prime is 83806769. The next prime is 83806817. The reversal of 83806801 is 10860838.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 80120401 = 1920^2 + 8951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83806801 - 2⁵ = 83806769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83806831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15456 + ... + 20161.

It is an arithmetic number, because the mean of its divisors is an integer number (11344333).

Almost surely, 2^83806801 is an apocalyptic number.

It is an amenable number.

83806801 is a deficient number, since it is larger than the sum of its proper divisors (6947863).

83806801 is a wasteful number, since it uses less digits than its factorization.

83806801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35811.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 83806801 is about 9154.6054529947. The cubic root of 83806801 is about 437.6158948475.

The spelling of 83806801 in words is "eighty-three million, eight hundred six thousand, eight hundred one".