5835312 has 90 divisors (see below), whose sum is σ = 19019988. Its totient is φ = 1665216.

The previous prime is 5835311. The next prime is 5835329. The reversal of 5835312 is 2135385.

It is a super-2 number, since 2×5835312² = 68101732274688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5835311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6643 + ... + 7469.

Almost surely, 2^5835312 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 5835312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509994).

5835312 is an abundant number, since it is smaller than the sum of its proper divisors (13184676).

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

5835312 is a wasteful number, since it uses less digits than its factorization.

5835312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5835312 is about 2415.6390458841. The cubic root of 5835312 is about 180.0340676259.

The spelling of 5835312 in words is "five million, eight hundred thirty-five thousand, three hundred twelve".