29968 has 10 divisors (see below), whose sum is σ = 58094. Its totient is φ = 14976.

The previous prime is 29959. The next prime is 29983. The reversal of 29968 is 86992.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 12544 = 132^2 + 112^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 921 + ... + 952.

2²⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

29968 is a deficient number, since it is larger than the sum of its proper divisors (28126).

29968 is a wasteful number, since it uses less digits than its factorization.

29968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1875 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 29968 is about 173.1126800671. The cubic root of 29968 is about 31.0612731913.

The spelling of 29968 in words is "twenty-nine thousand, nine hundred sixty-eight".