531993 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 270480.

The previous prime is 531989. The next prime is 531997. The reversal of 531993 is 399135.

It is an interprime number because it is at equal distance from previous prime (531989) and next prime (531997).

It is not a de Polignac number, because 531993 - 2² = 531989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 531993.

It is not an unprimeable number, because it can be changed into a prime (531997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11296 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁵³¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

531993 is a deficient number, since it is larger than the sum of its proper divisors (389607).

531993 is a wasteful number, since it uses less digits than its factorization.

531993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its digits is 3645, while the sum is 30.

The square root of 531993 is about 729.3785025623. The cubic root of 531993 is about 81.0280348012.

The spelling of 531993 in words is "five hundred thirty-one thousand, nine hundred ninety-three".