29957 has 4 divisors (see below), whose sum is σ = 31020. Its totient is φ = 28896.

The previous prime is 29947. The next prime is 29959. The reversal of 29957 is 75992.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 6241 = 154^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 29957 - 2¹⁰ = 28933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29957.

It is not an unprimeable number, because it can be changed into a prime (29959) by changing a digit.

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, 488 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (7755).

2²⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

29957 is a deficient number, since it is larger than the sum of its proper divisors (1063).

29957 is a wasteful number, since it uses less digits than its factorization.

29957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062.

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

The square root of 29957 is about 173.0809059371. The cubic root of 29957 is about 31.0574722945.

The spelling of 29957 in words is "twenty-nine thousand, nine hundred fifty-seven".