2837968 has 20 divisors (see below), whose sum is σ = 6284320. Its totient is φ = 1216224.

The previous prime is 2837953. The next prime is 2837977. The reversal of 2837968 is 8697382.

2837968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12558 + ... + 12781.

It is an arithmetic number, because the mean of its divisors is an integer number (314216).

2^2837968 is an apocalyptic number.

2837968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2837968 is an abundant number, since it is smaller than the sum of its proper divisors (3446352).

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

2837968 is a wasteful number, since it uses less digits than its factorization.

2837968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25354 (or 25348 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2837968 is about 1684.6269616743. The cubic root of 2837968 is about 141.5801923627.

The spelling of 2837968 in words is "two million, eight hundred thirty-seven thousand, nine hundred sixty-eight".