29864 has 8 divisors (see below), whose sum is σ = 56010. Its totient is φ = 14928.

The previous prime is 29863. The next prime is 29867. The reversal of 29864 is 46892.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 4900 = 158^2 + 70^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (29863) 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 as a sum of consecutive naturals, namely, 1859 + ... + 1874.

2²⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

29864 is a deficient number, since it is larger than the sum of its proper divisors (26146).

29864 is a wasteful number, since it uses less digits than its factorization.

29864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3735 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 29864 is about 172.8120366178. The cubic root of 29864 is about 31.0253001923.

The spelling of 29864 in words is "twenty-nine thousand, eight hundred sixty-four".