537315 has 16 divisors (see below), whose sum is σ = 870048. Its totient is φ = 283136.

The previous prime is 537307. The next prime is 537331. The reversal of 537315 is 513735.

It is a cyclic number.

It is not a de Polignac number, because 537315 - 2³ = 537307 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (54378).

2⁵³⁷³¹⁵ is an apocalyptic number.

537315 is a deficient number, since it is larger than the sum of its proper divisors (332733).

537315 is a wasteful number, since it uses less digits than its factorization.

537315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 1575, while the sum is 24.

The square root of 537315 is about 733.0177351197. The cubic root of 537315 is about 81.2973373068.

The spelling of 537315 in words is "five hundred thirty-seven thousand, three hundred fifteen".