29975 has 12 divisors (see below), whose sum is σ = 40920. Its totient is φ = 21600.

The previous prime is 29959. The next prime is 29983. The reversal of 29975 is 57992.

29975 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 29975 - 2⁴ = 29959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (3410).

2²⁹⁹⁷⁵ is an apocalyptic number.

29975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29975 is a deficient number, since it is larger than the sum of its proper divisors (10945).

29975 is a wasteful number, since it uses less digits than its factorization.

29975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 29975 is about 173.1328969318. The cubic root of 29975 is about 31.0636914595.

The spelling of 29975 in words is "twenty-nine thousand, nine hundred seventy-five".