5913312 has 48 divisors (see below), whose sum is σ = 16031232. Its totient is φ = 1906560.

The previous prime is 5913293. The next prime is 5913319. The reversal of 5913312 is 2133195.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×5913312³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5913319) 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, 1983 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (333984).

Almost surely, 2^5913312 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 5913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015616).

5913312 is an abundant number, since it is smaller than the sum of its proper divisors (10117920).

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

5913312 is a wasteful number, since it uses less digits than its factorization.

5913312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 5913312 is about 2431.7302481978. The cubic root of 5913312 is about 180.8326852438.

The spelling of 5913312 in words is "five million, nine hundred thirteen thousand, three hundred twelve".