7821102969 has 27 divisors (see below), whose sum is σ = 11595536719. Its totient is φ = 5079821280.

The previous prime is 7821102917. The next prime is 7821103007. The reversal of 7821102969 is 9692011287.

The square root of 7821102969 is 88437.

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., 376864569 + 7444238400 = 19413^2 + 86280^2 .

It is not a de Polignac number, because 7821102969 - 2¹⁷ = 7820971897 is a prime.

It is a super-2 number, since 2×7821102969² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7821102469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10877392 + ... + 10878110.

Almost surely, 2^7821102969 is an apocalyptic number.

7821102969 is the 88437-th square number.

7821102969 is the 44219-th centered octagonal number.

It is an amenable number.

7821102969 is a deficient number, since it is larger than the sum of its proper divisors (3774433750).

7821102969 is an frugal number, since it uses more digits than its factorization.

7821102969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 7821102969 is about 1984.9793870883.

The spelling of 7821102969 in words is "seven billion, eight hundred twenty-one million, one hundred two thousand, nine hundred sixty-nine".