29934 has 12 divisors (see below), whose sum is σ = 64896. Its totient is φ = 9972.

The previous prime is 29927. The next prime is 29947. The reversal of 29934 is 43992.

29934 = 85² + 86² + ... + 88².

It is a junction number, because it is equal to n+sod(n) for n = 29898 and 29907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 814 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (5408).

2²⁹⁹³⁴ is an apocalyptic number.

29934 is an abundant number, since it is smaller than the sum of its proper divisors (34962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29934 is a wasteful number, since it uses less digits than its factorization.

29934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1668 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 29934 is about 173.0144502636. The cubic root of 29934 is about 31.0495219574.

Adding to 29934 its product of digits (1944), we get a triangular number (31878 = T₂₅₂).

It can be divided in two parts, 299 and 34, that added together give a palindrome (333).

The spelling of 29934 in words is "twenty-nine thousand, nine hundred thirty-four".