213993 has 24 divisors (see below), whose sum is σ = 349440. Its totient is φ = 125280.

The previous prime is 213989. The next prime is 214003. The reversal of 213993 is 399312.

It is not a de Polignac number, because 213993 - 2² = 213989 is a prime.

It is an Ulam number.

213993 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (213943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2²¹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

213993 is a deficient number, since it is larger than the sum of its proper divisors (135447).

213993 is a wasteful number, since it uses less digits than its factorization.

213993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 213993 is about 462.5937742772. The cubic root of 213993 is about 59.8135881099.

The spelling of 213993 in words is "two hundred thirteen thousand, nine hundred ninety-three".