29241 has 15 divisors (see below), whose sum is σ = 46101. Its totient is φ = 18468.

The previous prime is 29231. The next prime is 29243. The reversal of 29241 is 14292.

Multipling 29241 by its product of digits (144), we get a square (4210704 = 2052^{2}).

It can be divided in two parts, 292 and 41, that added together give a palindrome (333).

29241 = T_{170} + T_{171}.

29241 = 1^{3} + 2^{3} + ... + 18^{3}.

The square root of 29241 is 171.

It is a perfect power (a square), and thus also a powerful number.

29241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 29241 - 2^{5} = 29209 is a prime.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 29241.

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

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1530 + ... + 1548.

2^{29241} is an apocalyptic number.

29241 is the 171-st square number.

29241 is the 86-th centered octagonal number.

It is an amenable number.

29241 is a deficient number, since it is larger than the sum of its proper divisors (16860).

29241 is an equidigital number, since it uses as much as digits as its factorization.

29241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 22 counting only the distinct ones).

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

The cubic root of 29241 is about 30.8080402914.

The spelling of 29241 in words is "twenty-nine thousand, two hundred forty-one".

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