83758726921 has 9 divisors (see below), whose sum is σ = 84311930311. Its totient is φ = 83209135432.

The previous prime is 83758726907. The next prime is 83758726973. The reversal of 83758726921 is 12962785738.

It is a happy number.

The square root of 83758726921 is 289411.

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., 37204623225 + 46554103696 = 192885^2 + 215764^2 .

It is not a de Polignac number, because 83758726921 - 2⁵ = 83758726889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83758726981) 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, 48330771 + ... + 48332503.

Almost surely, 2^83758726921 is an apocalyptic number.

83758726921 is the 289411-st square number.

83758726921 is the 144706-th centered octagonal number.

It is an amenable number.

83758726921 is a deficient number, since it is larger than the sum of its proper divisors (553203390).

83758726921 is an frugal number, since it uses more digits than its factorization.

83758726921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 1900 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 58.

The spelling of 83758726921 in words is "eighty-three billion, seven hundred fifty-eight million, seven hundred twenty-six thousand, nine hundred twenty-one".