29992 has 16 divisors (see below), whose sum is σ = 59040. Its totient is φ = 14256.

The previous prime is 29989. The next prime is 30011.

29992 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (3690).

2²⁹⁹⁹² is an apocalyptic number.

It is an amenable number.

29992 is a deficient number, since it is larger than the sum of its proper divisors (29048).

29992 is a wasteful number, since it uses less digits than its factorization.

29992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its digits is 2916, while the sum is 31.

The square root of 29992 is about 173.1819852063. The cubic root of 29992 is about 31.0695628295.

The spelling of 29992 in words is "twenty-nine thousand, nine hundred ninety-two".