83205710116 has 27 divisors (see below), whose sum is σ = 146474240241. Its totient is φ = 41357380704.

The previous prime is 83205710111. The next prime is 83205710171. The reversal of 83205710116 is 61101750238.

It is a happy number.

The square root of 83205710116 is 288454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16897400100 + 66308310016 = 129990^2 + 257504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83205710111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134419255 + ... + 134419873.

Almost surely, 2^83205710116 is an apocalyptic number.

83205710116 is the 288454-th square number.

It is an amenable number.

83205710116 is a deficient number, since it is larger than the sum of its proper divisors (63268530125).

83205710116 is an frugal number, since it uses more digits than its factorization.

83205710116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 83205710116 in words is "eighty-three billion, two hundred five million, seven hundred ten thousand, one hundred sixteen".