29034 has 12 divisors (see below), whose sum is σ = 62946. Its totient is φ = 9672.

The previous prime is 29033. The next prime is 29059. The reversal of 29034 is 43092.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 5625 = 153^2 + 75^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1613 = 29034 / (2 + 9 + 0 + 3 + 4).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 28998 and 29016.

It is not an unprimeable number, because it can be changed into a prime (29033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 789 + ... + 824.

2²⁹⁰³⁴ is an apocalyptic number.

29034 is an abundant number, since it is smaller than the sum of its proper divisors (33912).

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

29034 is a wasteful number, since it uses less digits than its factorization.

29034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29034 is about 170.3936618540. The cubic root of 29034 is about 30.7351703230.

It can be divided in two parts, 290 and 34, that added together give a square (324 = 18²).

The spelling of 29034 in words is "twenty-nine thousand, thirty-four".