83721006 has 32 divisors (see below), whose sum is σ = 190010880. Its totient is φ = 27312408.

The previous prime is 83720993. The next prime is 83721013. The reversal of 83721006 is 60012738.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13956 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (5937840).

Almost surely, 2^83721006 is an apocalyptic number.

83721006 is an abundant number, since it is smaller than the sum of its proper divisors (106289874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83721006 is a wasteful number, since it uses less digits than its factorization.

83721006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33045 (or 33039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83721006 is about 9149.9183602915. The cubic root of 83721006 is about 437.4665112870.

The spelling of 83721006 in words is "eighty-three million, seven hundred twenty-one thousand, six".