83905601 has 8 divisors (see below), whose sum is σ = 90515880. Its totient is φ = 77317632.

The previous prime is 83905583. The next prime is 83905607. The reversal of 83905601 is 10650938.

It is a Cunningham number, because it is equal to 9160²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 83905600 = 1^2 + 9160^2 .

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 83905601 - 2²² = 79711297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83905607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 13233.

It is an arithmetic number, because the mean of its divisors is an integer number (11314485).

Almost surely, 2^83905601 is an apocalyptic number.

It is an amenable number.

83905601 is a deficient number, since it is larger than the sum of its proper divisors (6610279).

83905601 is a wasteful number, since it uses less digits than its factorization.

83905601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 83905601 is about 9160.0000545852. Note that the first 4 decimals coincide. The cubic root of 83905601 is about 437.7877960556.

The spelling of 83905601 in words is "eighty-three million, nine hundred five thousand, six hundred one".