29601 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 15840.

The previous prime is 29599. The next prime is 29611. The reversal of 29601 is 10692.

29601 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 29601 - 2¹ = 29599 is a prime.

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 29601.

It is not an unprimeable number, because it can be changed into a prime (29611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2²⁹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

29601 is a deficient number, since it is larger than the sum of its proper divisors (22815).

29601 is a wasteful number, since it uses less digits than its factorization.

29601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 29601 is about 172.0494115073. The cubic root of 29601 is about 30.9339558230.

It can be divided in two parts, 29 and 601, that added together give a triangular number (630 = T₃₅).

The spelling of 29601 in words is "twenty-nine thousand, six hundred one".