29947 has 2 divisors, whose sum is σ = 29948. Its totient is φ = 29946.

The previous prime is 29927. The next prime is 29959. The reversal of 29947 is 74992.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 29947 - 2⁷ = 29819 is a prime.

It is a d-powerful number, because it can be written as 2 + 9⁴ + 9⁴ + 4² + 7⁵ .

It is not a weakly prime, because it can be changed into another prime (29917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14973 + 14974.

It is an arithmetic number, because the mean of its divisors is an integer number (14974).

2²⁹⁹⁴⁷ is an apocalyptic number.

29947 is the 93-rd centered heptagonal number.

29947 is a deficient number, since it is larger than the sum of its proper divisors (1).

29947 is an equidigital number, since it uses as much as digits as its factorization.

29947 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 29947 is about 173.0520153018. The cubic root of 29947 is about 31.0540161264.

The spelling of 29947 in words is "twenty-nine thousand, nine hundred forty-seven".