29973 has 8 divisors (see below), whose sum is σ = 40768. Its totient is φ = 19584.

The previous prime is 29959. The next prime is 29983. The reversal of 29973 is 37992.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 29973 - 2⁸ = 29717 is a prime.

It is a Duffinian number.

29973 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 29973.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 240 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2²⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

29973 is a deficient number, since it is larger than the sum of its proper divisors (10795).

29973 is a wasteful number, since it uses less digits than its factorization.

29973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its digits is 3402, while the sum is 30.

The square root of 29973 is about 173.1271209256. The cubic root of 29973 is about 31.0630005641.

Adding to 29973 its sum of digits (30), we get a palindrome (30003).

The spelling of 29973 in words is "twenty-nine thousand, nine hundred seventy-three".