2835 has 20 divisors (see below), whose sum is σ = 5808. Its totient is φ = 1296.

The previous prime is 2833. The next prime is 2837. The reversal of 2835 is 5382.

2835 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 (2833) and next prime (2837).

It is not a de Polignac number, because 2835 - 2¹ = 2833 is a prime.

2835 is a Rhonda number in base 10.

Its product of digits (240) is a multiple of the sum of its prime divisors (15).

2835 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 402 + ... + 408.

2²⁸³⁵ is an apocalyptic number.

2835 is the 27-th decagonal number.

2835 is an abundant number, since it is smaller than the sum of its proper divisors (2973).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904).

2835 is an equidigital number, since it uses as much as digits as its factorization.

2835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 15 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2835 is about 53.2447180479. The cubic root of 2835 is about 14.1530819409.

The spelling of 2835 in words is "two thousand, eight hundred thirty-five".