83382337601 has 8 divisors (see below), whose sum is σ = 83676839400. Its totient is φ = 83087903872.

The previous prime is 83382337517. The next prime is 83382337631. The reversal of 83382337601 is 10673328338.

It is a Cunningham number, because it is equal to 288760²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 45849087376 + 37533250225 = 214124^2 + 193735^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83382337601 is a prime.

It is a super-2 number, since 2×83382337601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83382337631) 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, 4869611 + ... + 4886703.

It is an arithmetic number, because the mean of its divisors is an integer number (10459604925).

Almost surely, 2^83382337601 is an apocalyptic number.

It is an amenable number.

83382337601 is a deficient number, since it is larger than the sum of its proper divisors (294501799).

83382337601 is a wasteful number, since it uses less digits than its factorization.

83382337601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34035.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 83382337601 in words is "eighty-three billion, three hundred eighty-two million, three hundred thirty-seven thousand, six hundred one".