8083987921 has 9 divisors (see below), whose sum is σ = 8263967131. Its totient is φ = 7907852272.

The previous prime is 8083987913. The next prime is 8083987937. The reversal of 8083987921 is 1297893808.

The square root of 8083987921 is 89911.

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., 7038371025 + 1045616896 = 83895^2 + 32336^2 .

It is not a de Polignac number, because 8083987921 - 2³ = 8083987913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8083987981) 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, 4224861 + ... + 4226773.

Almost surely, 2^8083987921 is an apocalyptic number.

8083987921 is the 89911-st square number.

8083987921 is the 44956-th centered octagonal number.

It is an amenable number.

8083987921 is a deficient number, since it is larger than the sum of its proper divisors (179979210).

8083987921 is an frugal number, since it uses more digits than its factorization.

8083987921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The cubic root of 8083987921 is about 2006.9746423251.

It can be divided in two parts, 8083 and 987921, that added together give a square (996004 = 998²).

The spelling of 8083987921 in words is "eight billion, eighty-three million, nine hundred eighty-seven thousand, nine hundred twenty-one".