29645 has 18 divisors (see below), whose sum is σ = 45486. Its totient is φ = 18480.

The previous prime is 29641. The next prime is 29663. The reversal of 29645 is 54692.

29645 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 5929 = 154^2 + 77^2 .

It is not a de Polignac number, because 29645 - 2² = 29641 is a prime.

It is a super-3 number, since 3×29645³ = 78158392533375, which contains 333 as substring.

It is a plaindrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2690 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

2²⁹⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

29645 is a deficient number, since it is larger than the sum of its proper divisors (15841).

29645 is a wasteful number, since it uses less digits than its factorization.

29645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 29645 is about 172.1772342675. The cubic root of 29645 is about 30.9492753529.

The spelling of 29645 in words is "twenty-nine thousand, six hundred forty-five".