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29445 = 3513151

29445 has 16 divisors (see below), whose sum is σ = 51072. Its totient is φ = 14400.

The previous prime is 29443. The next prime is 29453. The reversal of 29445 is 54492.

29445 = T34 + T35 + ... + T59.

It is not a de Polignac number, because 29445 - 21 = 29443 is a prime.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29443) 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 15 ways as a sum of consecutive naturals, for example, 120 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

229445 is an apocalyptic number.

It is an amenable number.

29445 is a deficient number, since it is larger than the sum of its proper divisors (21627).

29445 is a wasteful number, since it uses less digits than its factorization.

29445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 1440, while the sum is 24.

The square root of 29445 is about 171.5954544853. The cubic root of 29445 is about 30.8795184807.

It can be divided in two parts, 29 and 445, that added together give a palindrome (474).

The spelling of 29445 in words is "twenty-nine thousand, four hundred forty-five".

Divisors: 1 3 5 13 15 39 65 151 195 453 755 1963 2265 5889 9815 29445