1823826829 has 12 divisors (see below), whose sum is σ = 2058888412. Its totient is φ = 1613208960.

The previous prime is 1823826737. The next prime is 1823826833. The reversal of 1823826829 is 9286283281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1647548100 + 176278729 = 40590^2 + 13277^2 .

It is not a de Polignac number, because 1823826829 - 2¹⁵ = 1823794061 is a prime.

It is a Duffinian number.

1823826829 is a modest number, since divided by 26829 gives 18238 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823820829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199212 + ... + 208165.

Almost surely, 2^1823826829 is an apocalyptic number.

It is an amenable number.

1823826829 is a deficient number, since it is larger than the sum of its proper divisors (235061583).

1823826829 is a wasteful number, since it uses less digits than its factorization.

1823826829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407436 (or 407425 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 1823826829 is about 42706.2855912335. The cubic root of 1823826829 is about 1221.7842809123.

The spelling of 1823826829 in words is "one billion, eight hundred twenty-three million, eight hundred twenty-six thousand, eight hundred twenty-nine".