29274 has 32 divisors (see below), whose sum is σ = 72576. Its totient is φ = 7680.

The previous prime is 29269. The next prime is 29287. The reversal of 29274 is 47292.

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

It is a Curzon number.

It is a nialpdrome in base 14.

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 29274.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2²⁹²⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

29274 is an abundant number, since it is smaller than the sum of its proper divisors (43302).

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

29274 is a wasteful number, since it uses less digits than its factorization.

29274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its digits is 1008, while the sum is 24.

The square root of 29274 is about 171.0964640196. The cubic root of 29274 is about 30.8196254300.

It can be divided in two parts, 29 and 274, that added together give a palindrome (303).

The spelling of 29274 in words is "twenty-nine thousand, two hundred seventy-four".