29524 has 18 divisors (see below), whose sum is σ = 57722. Its totient is φ = 13200.

The previous prime is 29501. The next prime is 29527. The reversal of 29524 is 42592.

It is a happy number.

29524 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 12100 = 132^2 + 110^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

29524 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 29495 and 29504.

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 nontrivial repunit in base 3.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 454 + ... + 514.

29524 is a Friedman number, since it can be written as 9^5/2-2/4, using all its digits and the basic arithmetic operations.

2²⁹⁵²⁴ is an apocalyptic number.

It is an amenable number.

29524 is a deficient number, since it is larger than the sum of its proper divisors (28198).

29524 is a wasteful number, since it uses less digits than its factorization.

29524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 29524 is about 171.8254928699. The cubic root of 29524 is about 30.9071100754.

The spelling of 29524 in words is "twenty-nine thousand, five hundred twenty-four".