29997 has 16 divisors (see below), whose sum is σ = 48960. Its totient is φ = 18000.

The previous prime is 29989. The next prime is 30011. The reversal of 29997 is 79992.

It is not a de Polignac number, because 29997 - 2³ = 29989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2²⁹⁹⁹⁷ is an apocalyptic number.

29997 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29997 is a deficient number, since it is larger than the sum of its proper divisors (18963).

29997 is a wasteful number, since it uses less digits than its factorization.

29997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 29997 is about 173.1964202863. The cubic root of 29997 is about 31.0712892808.

Subtracting from 29997 its product of digits (10206), we obtain a palindrome (19791).

It can be divided in two parts, 2 and 9997, that added together give a palindrome (9999).

The spelling of 29997 in words is "twenty-nine thousand, nine hundred ninety-seven".