29971 has 8 divisors (see below), whose sum is σ = 33264. Its totient is φ = 26880.

The previous prime is 29959. The next prime is 29983. The reversal of 29971 is 17992.

It is an interprime number because it is at equal distance from previous prime (29959) and next prime (29983).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29971 is a prime.

It is a Duffinian number.

29971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (29921) 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, 676 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2²⁹⁹⁷¹ is an apocalyptic number.

29971 is a deficient number, since it is larger than the sum of its proper divisors (3293).

29971 is a wasteful number, since it uses less digits than its factorization.

29971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its digits is 1134, while the sum is 28.

The square root of 29971 is about 173.1213447268. The cubic root of 29971 is about 31.0623096380.

It can be divided in two parts, 29 and 971, that added together give a cube (1000 = 10³).

The spelling of 29971 in words is "twenty-nine thousand, nine hundred seventy-one".