83328101 has 16 divisors (see below), whose sum is σ = 90331200. Its totient is φ = 76581120.

The previous prime is 83328083. The next prime is 83328127. The reversal of 83328101 is 10182338.

It is a cyclic number.

It is not a de Polignac number, because 83328101 - 2²² = 79133797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83328151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169466 + ... + 169956.

It is an arithmetic number, because the mean of its divisors is an integer number (5645700).

Almost surely, 2^83328101 is an apocalyptic number.

It is an amenable number.

83328101 is a deficient number, since it is larger than the sum of its proper divisors (7003099).

83328101 is a wasteful number, since it uses less digits than its factorization.

83328101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 83328101 is about 9128.4227005546. The cubic root of 83328101 is about 436.7810904484.

The spelling of 83328101 in words is "eighty-three million, three hundred twenty-eight thousand, one hundred one".