933993 has 12 divisors (see below), whose sum is σ = 1359748. Its totient is φ = 617760.

The previous prime is 933979. The next prime is 934001. The reversal of 933993 is 399339.

It can be written as a sum of positive squares in 2 ways, for example, as 514089 + 419904 = 717^2 + 648^2 .

It is not a de Polignac number, because 933993 - 2¹⁰ = 932969 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (933923) 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, 1083 + ... + 1743.

2⁹³³⁹⁹³ is an apocalyptic number.

It is an amenable number.

933993 is a deficient number, since it is larger than the sum of its proper divisors (425755).

933993 is a wasteful number, since it uses less digits than its factorization.

933993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its digits is 19683, while the sum is 36.

The square root of 933993 is about 966.4331327102. The cubic root of 933993 is about 97.7494990632.

The spelling of 933993 in words is "nine hundred thirty-three thousand, nine hundred ninety-three".