537312 has 48 divisors (see below), whose sum is σ = 1466640. Its totient is φ = 172032.

The previous prime is 537307. The next prime is 537331. The reversal of 537312 is 213735.

It is a happy number.

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

537312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2688 + ... + 2880.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2⁵³⁷³¹² 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 537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733320).

537312 is an abundant number, since it is smaller than the sum of its proper divisors (929328).

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

537312 is a wasteful number, since it uses less digits than its factorization.

537312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 537312 is about 733.0156887816. The cubic root of 537312 is about 81.2971860036.

The spelling of 537312 in words is "five hundred thirty-seven thousand, three hundred twelve".