29965 has 8 divisors (see below), whose sum is σ = 38808. Its totient is φ = 22080.

The previous prime is 29959. The next prime is 29983. The reversal of 29965 is 56992.

29965 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 29929 = 6^2 + 173^2 .

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

It is not a de Polignac number, because 29965 - 2⁷ = 29837 is a prime.

It is an Ulam number.

It is a Duffinian number.

29965 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2²⁹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

29965 is a deficient number, since it is larger than the sum of its proper divisors (8843).

29965 is a wasteful number, since it uses less digits than its factorization.

29965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479.

The product of its digits is 4860, while the sum is 31.

The square root of 29965 is about 173.1040149737. The cubic root of 29965 is about 31.0602366753.

The spelling of 29965 in words is "twenty-nine thousand, nine hundred sixty-five".