29993 has 4 divisors (see below), whose sum is σ = 30420. Its totient is φ = 29568.

The previous prime is 29989. The next prime is 30011. The reversal of 29993 is 39992.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 23104 = 83^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 29993 - 2² = 29989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2²⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

29993 is a deficient number, since it is larger than the sum of its proper divisors (427).

29993 is an equidigital number, since it uses as much as digits as its factorization.

29993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426.

The product of its digits is 4374, while the sum is 32.

The square root of 29993 is about 173.1848723186. The cubic root of 29993 is about 31.0699081352.

Subtracting 29993 from its reverse (39992), we obtain a palindrome (9999).

The spelling of 29993 in words is "twenty-nine thousand, nine hundred ninety-three".