2829105 has 12 divisors (see below), whose sum is σ = 4903860. Its totient is φ = 1508832.

The previous prime is 2829103. The next prime is 2829107. The reversal of 2829105 is 5019282.

2829105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2829103) and next prime (2829107).

It can be written as a sum of positive squares in 2 ways, for example, as 720801 + 2108304 = 849^2 + 1452^2 .

It is not a de Polignac number, because 2829105 - 2¹ = 2829103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2829103) 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 11 ways as a sum of consecutive naturals, for example, 31390 + ... + 31479.

It is an arithmetic number, because the mean of its divisors is an integer number (408655).

2^2829105 is an apocalyptic number.

It is an amenable number.

2829105 is a deficient number, since it is larger than the sum of its proper divisors (2074755).

2829105 is a wasteful number, since it uses less digits than its factorization.

2829105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62880 (or 62877 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2829105 is about 1681.9943519525. The cubic root of 2829105 is about 141.4326532558.

The spelling of 2829105 in words is "two million, eight hundred twenty-nine thousand, one hundred five".