1822179969 has 81 divisors (see below), whose sum is σ = 3000038691. Its totient is φ = 1106447040.

The previous prime is 1822179929. The next prime is 1822179979. The reversal of 1822179969 is 9699712281.

The square root of 1822179969 is 42687.

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., 1418652225 + 403527744 = 37665^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1822179969 - 2⁷ = 1822179841 is a prime.

It is a super-2 number, since 2×1822179969² = 6640679678849681922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1822179929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58779984 + ... + 58780014.

Almost surely, 2^1822179969 is an apocalyptic number.

1822179969 is the 42687-th square number.

1822179969 is the 21344-th centered octagonal number.

It is an amenable number.

1822179969 is a deficient number, since it is larger than the sum of its proper divisors (1177858722).

1822179969 is an frugal number, since it uses more digits than its factorization.

1822179969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The cubic root of 1822179969 is about 1221.4164255223.

The spelling of 1822179969 in words is "one billion, eight hundred twenty-two million, one hundred seventy-nine thousand, nine hundred sixty-nine".