2185129 has 6 divisors (see below), whose sum is σ = 2321534. Its totient is φ = 2056320.

The previous prime is 2185103. The next prime is 2185151. The reversal of 2185129 is 9215812.

2185129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 597529 + 1587600 = 773^2 + 1260^2 .

It is not a de Polignac number, because 2185129 - 2⁹ = 2184617 is a prime.

It is a Duffinian number.

2185129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2185097 and 2185106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185189) 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 5 ways as a sum of consecutive naturals, for example, 3492 + ... + 4069.

2^2185129 is an apocalyptic number.

It is an amenable number.

2185129 is a deficient number, since it is larger than the sum of its proper divisors (136405).

2185129 is an equidigital number, since it uses as much as digits as its factorization.

2185129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7578 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 2185129 is about 1478.2181841663. The cubic root of 2185129 is about 129.7654350063.

The spelling of 2185129 in words is "two million, one hundred eighty-five thousand, one hundred twenty-nine".