537993 has 18 divisors (see below), whose sum is σ = 819546. Its totient is φ = 340032.

The previous prime is 537991. The next prime is 538001. The reversal of 537993 is 399735.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 233289 = 552^2 + 483^2 .

It is not a de Polignac number, because 537993 - 2¹ = 537991 is a prime.

537993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (537991) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4705 + ... + 4817.

2⁵³⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

537993 is a deficient number, since it is larger than the sum of its proper divisors (281553).

537993 is a wasteful number, since it uses less digits than its factorization.

537993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 537993 is about 733.4800610787. The cubic root of 537993 is about 81.3315173980.

The spelling of 537993 in words is "five hundred thirty-seven thousand, nine hundred ninety-three".