29745 has 12 divisors (see below), whose sum is σ = 51636. Its totient is φ = 15840.

The previous prime is 29741. The next prime is 29753. The reversal of 29745 is 54792.

29745 is nontrivially palindromic in base 13.

29745 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 12321 = 132^2 + 111^2 .

It is not a de Polignac number, because 29745 - 2² = 29741 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (29741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (4303).

2²⁹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

29745 is a deficient number, since it is larger than the sum of its proper divisors (21891).

29745 is a wasteful number, since it uses less digits than its factorization.

29745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 29745 is about 172.4673882217. The cubic root of 29745 is about 30.9840361788.

Subtracting from 29745 its product of digits (2520), we obtain a square (27225 = 165²).

The spelling of 29745 in words is "twenty-nine thousand, seven hundred forty-five".