210393 has 12 divisors (see below), whose sum is σ = 308308. Its totient is φ = 138240.

The previous prime is 210391. The next prime is 210401. The reversal of 210393 is 393012.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 82944 = 357^2 + 288^2 .

It is not a de Polignac number, because 210393 - 2¹ = 210391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 993.

2²¹⁰³⁹³ is an apocalyptic number.

It is an amenable number.

210393 is a deficient number, since it is larger than the sum of its proper divisors (97915).

210393 is a wasteful number, since it uses less digits than its factorization.

210393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 210393 is about 458.6861672211. The cubic root of 210393 is about 59.4762751728.

The spelling of 210393 in words is "two hundred ten thousand, three hundred ninety-three".