29253 has 12 divisors (see below), whose sum is σ = 45600. Its totient is φ = 16632.

The previous prime is 29251. The next prime is 29269. The reversal of 29253 is 35292.

It is not a de Polignac number, because 29253 - 2¹ = 29251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 2¹² + 9⁴ + 2¹⁴ + 5² + 3⁷ .

29253 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29253.

It is not an unprimeable number, because it can be changed into a prime (29251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (3800).

2²⁹²⁵³ is an apocalyptic number.

It is an amenable number.

29253 is a deficient number, since it is larger than the sum of its proper divisors (16347).

29253 is a wasteful number, since it uses less digits than its factorization.

29253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 29253 is about 171.0350841202. The cubic root of 29253 is about 30.8122540771.

It can be divided in two parts, 29 and 253, that multiplied together give a palindrome (7337).

The spelling of 29253 in words is "twenty-nine thousand, two hundred fifty-three".