5813964 has 96 divisors (see below), whose sum is σ = 16793280. Its totient is φ = 1728000.

The previous prime is 5813903. The next prime is 5813989. The reversal of 5813964 is 4693185.

5813964 is digitally balanced in base 4, 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 (36).

It is an Ulam number.

Its product of digits (25920) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57514 + ... + 57614.

It is an arithmetic number, because the mean of its divisors is an integer number (174930).

Almost surely, 2^5813964 is an apocalyptic number.

5813964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5813964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396640).

5813964 is an abundant number, since it is smaller than the sum of its proper divisors (10979316).

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

5813964 is a wasteful number, since it uses less digits than its factorization.

5813964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5813964 is about 2411.2162905886. The cubic root of 5813964 is about 179.8142528325.

The spelling of 5813964 in words is "five million, eight hundred thirteen thousand, nine hundred sixty-four".