29493 has 12 divisors (see below), whose sum is σ = 44460. Its totient is φ = 18816.

The previous prime is 29483. The next prime is 29501. The reversal of 29493 is 39492.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 23409 = 78^2 + 153^2 .

It is not a de Polignac number, because 29493 - 2⁶ = 29429 is a prime.

29493 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29423) 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, 205 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2²⁹⁴⁹³ is an apocalyptic number.

It is an amenable number.

29493 is a deficient number, since it is larger than the sum of its proper divisors (14967).

29493 is a wasteful number, since it uses less digits than its factorization.

29493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 29493 is about 171.7352613763. The cubic root of 29493 is about 30.8962888684.

Subtracting 29493 from its reverse (39492), we obtain a palindrome (9999).

The spelling of 29493 in words is "twenty-nine thousand, four hundred ninety-three".