5829312 has 56 divisors (see below), whose sum is σ = 15632176. Its totient is φ = 1916928.

The previous prime is 5829301. The next prime is 5829323. The reversal of 5829312 is 2139285.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5829301) and next prime (5829323).

It is a self number, because there is not a number n which added to its sum of digits gives 5829312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18468 + ... + 18780.

It is an arithmetic number, because the mean of its divisors is an integer number (279146).

Almost surely, 2^5829312 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 5829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816088).

5829312 is an abundant number, since it is smaller than the sum of its proper divisors (9802864).

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

5829312 is a wasteful number, since it uses less digits than its factorization.

5829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 5829312 is about 2414.3968190834. The cubic root of 5829312 is about 179.9723414292.

It can be divided in two parts, 582 and 9312, that multiplied together give a square (5419584 = 2328²).

The spelling of 5829312 in words is "five million, eight hundred twenty-nine thousand, three hundred twelve".