29250 has 48 divisors (see below), whose sum is σ = 85176. Its totient is φ = 7200.

The previous prime is 29243. The next prime is 29251. The reversal of 29250 is 5292.

29250 = T₄ + T₅ + ... + T₅₅.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 25281 = 63^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 9.

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

29250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2244 + ... + 2256.

2²⁹²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42588).

29250 is an abundant number, since it is smaller than the sum of its proper divisors (55926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29250 is a wasteful number, since it uses less digits than its factorization.

29250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 29250 is about 171.0263137649. The cubic root of 29250 is about 30.8112007387.

The spelling of 29250 in words is "twenty-nine thousand, two hundred fifty".