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29214 = 233541

29214 has 16 divisors (see below), whose sum is σ = 65040. Its totient is φ = 9720.

The previous prime is 29209. The next prime is 29221. The reversal of 29214 is 41292.

It can be divided in two parts, 29 and 214, that added together give a 5-th power (243 = 35).

29214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29214.

It is an unprimeable number.

29214 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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (4065).

229214 is an apocalyptic number.

29214 is an abundant number, since it is smaller than the sum of its proper divisors (35826).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32520).

29214 is a wasteful number, since it uses less digits than its factorization.

29214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 29214 is about 170.9210343989. The cubic root of 29214 is about 30.7985550567.

The spelling of 29214 in words is "twenty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 541 1082 1623 3246 4869 9738 14607 29214