83721105 has 24 divisors (see below), whose sum is σ = 156280488. Its totient is φ = 41216256.

The previous prime is 83721083. The next prime is 83721133. The reversal of 83721105 is 50112738.

It can be written as a sum of positive squares in 4 ways, for example, as 5716881 + 78004224 = 2391^2 + 8832^2 .

It is not a de Polignac number, because 83721105 - 2⁶ = 83721041 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70972 + ... + 72141.

It is an arithmetic number, because the mean of its divisors is an integer number (6511687).

Almost surely, 2^83721105 is an apocalyptic number.

It is an amenable number.

83721105 is a deficient number, since it is larger than the sum of its proper divisors (72559383).

83721105 is a wasteful number, since it uses less digits than its factorization.

83721105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143137 (or 143134 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 83721105 is about 9149.9237701743. The cubic root of 83721105 is about 437.4666837215.

The spelling of 83721105 in words is "eighty-three million, seven hundred twenty-one thousand, one hundred five".