2835162 has 80 divisors (see below), whose sum is σ = 7283232. Its totient is φ = 816480.

The previous prime is 2835149. The next prime is 2835163. The reversal of 2835162 is 2615382.

2835162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2880) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2835163) 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 39 ways as a sum of consecutive naturals, for example, 65913 + ... + 65955.

2^2835162 is an apocalyptic number.

2835162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641616).

2835162 is an abundant number, since it is smaller than the sum of its proper divisors (4448070).

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

2835162 is a wasteful number, since it uses less digits than its factorization.

2835162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2835162 is about 1683.7939303846. The cubic root of 2835162 is about 141.5335151833.

It can be divided in two parts, 283 and 5162, that added together give a palindrome (5445).

The spelling of 2835162 in words is "two million, eight hundred thirty-five thousand, one hundred sixty-two".