29525 has 6 divisors (see below), whose sum is σ = 36642. Its totient is φ = 23600.

The previous prime is 29501. The next prime is 29527. The reversal of 29525 is 52592.

29525 = 121² + 122².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6724 + 22801 = 82^2 + 151^2 .

It is not a de Polignac number, because 29525 - 2⁸ = 29269 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 3 and base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 29525.

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 5 ways as a sum of consecutive naturals, for example, 566 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (6107).

29525 is a Friedman number, since it can be written as (9^5+5)/2-2, using all its digits and the basic arithmetic operations.

2²⁹⁵²⁵ is an apocalyptic number.

29525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29525 is the 122-nd centered square number.

It is an amenable number.

29525 is a deficient number, since it is larger than the sum of its proper divisors (7117).

29525 is a wasteful number, since it uses less digits than its factorization.

29525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 29525 is about 171.8284027744. The cubic root of 29525 is about 30.9074590205.

It can be divided in two parts, 29 and 525, that multiplied together give a triangular number (15225 = T₁₇₄).

The spelling of 29525 in words is "twenty-nine thousand, five hundred twenty-five".