1828129 has 8 divisors (see below), whose sum is σ = 1973160. Its totient is φ = 1687296.

The previous prime is 1828121. The next prime is 1828153. The reversal of 1828129 is 9218281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1299600 + 528529 = 1140^2 + 727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1828129 - 2³ = 1828121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1828129.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (246645).

2^1828129 is an apocalyptic number.

It is an amenable number.

1828129 is a deficient number, since it is larger than the sum of its proper divisors (145031).

1828129 is a wasteful number, since it uses less digits than its factorization.

1828129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099.

The product of its digits is 2304, while the sum is 31.

The square root of 1828129 is about 1352.0832074987. The cubic root of 1828129 is about 122.2744203428.

The spelling of 1828129 in words is "one million, eight hundred twenty-eight thousand, one hundred twenty-nine".