2042829 has 12 divisors (see below), whose sum is σ = 2999932. Its totient is φ = 1339560.

The previous prime is 2042819. The next prime is 2042849. The reversal of 2042829 is 9282402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 1550025 = 702^2 + 1245^2 .

It is not a de Polignac number, because 2042829 - 2⁴ = 2042813 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33459 + ... + 33519.

2^2042829 is an apocalyptic number.

It is an amenable number.

2042829 is a deficient number, since it is larger than the sum of its proper divisors (957103).

2042829 is an frugal number, since it uses more digits than its factorization.

2042829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2042829 is about 1429.2756906909. The cubic root of 2042829 is about 126.8851132062.

It can be divided in two parts, 20 and 42829, that added together give a square (42849 = 207²).

The spelling of 2042829 in words is "two million, forty-two thousand, eight hundred twenty-nine".