29917 has 2 divisors, whose sum is σ = 29918. Its totient is φ = 29916.

The previous prime is 29881. The next prime is 29921. The reversal of 29917 is 71992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 676 = 171^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 29917 - 2⁷ = 29789 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14958 + 14959.

It is an arithmetic number, because the mean of its divisors is an integer number (14959).

2²⁹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

29917 is a deficient number, since it is larger than the sum of its proper divisors (1).

29917 is an equidigital number, since it uses as much as digits as its factorization.

29917 is an evil number, because the sum of its binary digits is even.

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

The square root of 29917 is about 172.9653144419. The cubic root of 29917 is about 31.0436430034.

It can be divided in two parts, 29 and 917, that added together give a triangular number (946 = T₄₃).

The spelling of 29917 in words is "twenty-nine thousand, nine hundred seventeen".