2836968 has 32 divisors (see below), whose sum is σ = 7260000. Its totient is φ = 923328.

The previous prime is 2836963. The next prime is 2836973. The reversal of 2836968 is 8696382.

2836968 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 (2836963) and next prime (2836973).

It is not an unprimeable number, because it can be changed into a prime (2836961) 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 7 ways as a sum of consecutive naturals, for example, 343 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (226875).

2^2836968 is an apocalyptic number.

It is an amenable number.

2836968 is an abundant number, since it is smaller than the sum of its proper divisors (4423032).

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

2836968 is a wasteful number, since it uses less digits than its factorization.

2836968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2836968 is about 1684.3301339108. The cubic root of 2836968 is about 141.5635611175.

The spelling of 2836968 in words is "two million, eight hundred thirty-six thousand, nine hundred sixty-eight".