2833964 has 36 divisors (see below), whose sum is σ = 6080760. Its totient is φ = 1149120.

The previous prime is 2833937. The next prime is 2833969. The reversal of 2833964 is 4693382.

It is a happy number.

2833964 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

2833964 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2833969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3344 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (168910).

2^2833964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2833964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040380).

2833964 is an abundant number, since it is smaller than the sum of its proper divisors (3246796).

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

2833964 is a wasteful number, since it uses less digits than its factorization.

2833964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 2833964 is about 1683.4381485519. The cubic root of 2833964 is about 141.5135773409.

The spelling of 2833964 in words is "two million, eight hundred thirty-three thousand, nine hundred sixty-four".