29385 has 12 divisors (see below), whose sum is σ = 51012. Its totient is φ = 15648.

The previous prime is 29383. The next prime is 29387. The reversal of 29385 is 58392.

29385 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29383) and next prime (29387).

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 20736 = 93^2 + 144^2 .

It is not a de Polignac number, because 29385 - 2¹ = 29383 is a prime.

It is a d-powerful number, because it can be written as 2³ + 9⁴ + 3⁹ + 8 + 5⁵ .

It is a Curzon number.

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 29385.

It is not an unprimeable number, because it can be changed into a prime (29383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (4251).

2²⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

29385 is a deficient number, since it is larger than the sum of its proper divisors (21627).

29385 is a wasteful number, since it uses less digits than its factorization.

29385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 29385 is about 171.4205355259. The cubic root of 29385 is about 30.8585298465.

Subtracting from 29385 its product of digits (2160), we obtain a square (27225 = 165²).

It can be divided in two parts, 293 and 85, that added together give a triangular number (378 = T₂₇).

The spelling of 29385 in words is "twenty-nine thousand, three hundred eighty-five".