29248 has 14 divisors (see below), whose sum is σ = 58166. Its totient is φ = 14592.

The previous prime is 29243. The next prime is 29251. The reversal of 29248 is 84292.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 1024 = 168^2 + 32^2 .

It is a nialpdrome in base 8 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29243) by changing a digit.

29248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165 + ... + 292.

2²⁹²⁴⁸ is an apocalyptic number.

It is an amenable number.

29248 is a deficient number, since it is larger than the sum of its proper divisors (28918).

29248 is an equidigital number, since it uses as much as digits as its factorization.

29248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 29248 is about 171.0204666115. The cubic root of 29248 is about 30.8104984731.

It can be divided in two parts, 2 and 9248, that multiplied together give a square (18496 = 136²).

The spelling of 29248 in words is "twenty-nine thousand, two hundred forty-eight".