2835105 has 64 divisors (see below), whose sum is σ = 5849088. Its totient is φ = 1140480.

The previous prime is 2835103. The next prime is 2835113. The reversal of 2835105 is 5015382.

It is not a de Polignac number, because 2835105 - 2¹ = 2835103 is a prime.

It is a super-2 number, since 2×2835105² = 16075640722050, which contains 22 as substring.

2835105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2835103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42282 + ... + 42348.

It is an arithmetic number, because the mean of its divisors is an integer number (91392).

2^2835105 is an apocalyptic number.

It is an amenable number.

2835105 is an abundant number, since it is smaller than the sum of its proper divisors (3013983).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2835105 is a wasteful number, since it uses less digits than its factorization.

2835105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2835105 is about 1683.7770042378. Note that the first 3 decimals coincide. The cubic root of 2835105 is about 141.5325666820.

The spelling of 2835105 in words is "two million, eight hundred thirty-five thousand, one hundred five".