29561 has 8 divisors (see below), whose sum is σ = 34944. Its totient is φ = 24480.

The previous prime is 29537. The next prime is 29567. The reversal of 29561 is 16592.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29561 - 2¹⁰ = 28537 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29561.

It is not an unprimeable number, because it can be changed into a prime (29567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2²⁹⁵⁶¹ is an apocalyptic number.

It is an amenable number.

29561 is a deficient number, since it is larger than the sum of its proper divisors (5383).

29561 is a wasteful number, since it uses less digits than its factorization.

29561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its digits is 540, while the sum is 23.

The square root of 29561 is about 171.9331265347. The cubic root of 29561 is about 30.9200157984.

Adding to 29561 its sum of digits (23), we get a square (29584 = 172²).

The spelling of 29561 in words is "twenty-nine thousand, five hundred sixty-one".