29845 has 8 divisors (see below), whose sum is σ = 36864. Its totient is φ = 23184.

The previous prime is 29837. The next prime is 29851. The reversal of 29845 is 54892.

It is a happy number.

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 29845 - 2³ = 29837 is a prime.

It is a Duffinian number.

29845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

2²⁹⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

29845 is a deficient number, since it is larger than the sum of its proper divisors (7019).

29845 is a wasteful number, since it uses less digits than its factorization.

29845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its digits is 2880, while the sum is 28.

The square root of 29845 is about 172.7570548487. The cubic root of 29845 is about 31.0187191833.

It can be divided in two parts, 298 and 45, that added together give a palindrome (343).

The spelling of 29845 in words is "twenty-nine thousand, eight hundred forty-five".