537216 has 32 divisors (see below), whose sum is σ = 1428000. Its totient is φ = 178944.

The previous prime is 537197. The next prime is 537221. The reversal of 537216 is 612735.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a d-powerful number, because it can be written as 5⁵ + 3¹² + 2⁵ + 7⁴ + 1 + 6³ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (44625).

2⁵³⁷²¹⁶ is an apocalyptic number.

It is an amenable number.

537216 is an abundant number, since it is smaller than the sum of its proper divisors (890784).

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

537216 is a wasteful number, since it uses less digits than its factorization.

537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1404 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 537216 is about 732.9502029470. The cubic root of 537216 is about 81.2923440032.

The spelling of 537216 in words is "five hundred thirty-seven thousand, two hundred sixteen".