29529 has 12 divisors (see below), whose sum is σ = 45396. Its totient is φ = 18432.

The previous prime is 29527. The next prime is 29531. The reversal of 29529 is 92592.

It is an interprime number because it is at equal distance from previous prime (29527) and next prime (29531).

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 14400 = 123^2 + 120^2 .

It is not a de Polignac number, because 29529 - 2¹ = 29527 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (3783).

29529 is a Friedman number, since it can be written as 9^5/2+9/2, using all its digits and the basic arithmetic operations.

2²⁹⁵²⁹ is an apocalyptic number.

It is an amenable number.

29529 is a deficient number, since it is larger than the sum of its proper divisors (15867).

29529 is a wasteful number, since it uses less digits than its factorization.

29529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 29529 is about 171.8400418994. The cubic root of 29529 is about 30.9088547219.

It can be divided in two parts, 295 and 29, that added together give a square (324 = 18²).

The spelling of 29529 in words is "twenty-nine thousand, five hundred twenty-nine".