537309 has 12 divisors (see below), whose sum is σ = 782496. Its totient is φ = 355272.

The previous prime is 537307. The next prime is 537331. The reversal of 537309 is 903735.

537309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 537309 - 2¹ = 537307 is a prime.

It is a super-2 number, since 2×537309² = 577401922962, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

2⁵³⁷³⁰⁹ is an apocalyptic number.

It is an amenable number.

537309 is a deficient number, since it is larger than the sum of its proper divisors (245187).

537309 is a wasteful number, since it uses less digits than its factorization.

537309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 537309 is about 733.0136424378. The cubic root of 537309 is about 81.2970346998.

The spelling of 537309 in words is "five hundred thirty-seven thousand, three hundred nine".