29295 has 32 divisors (see below), whose sum is σ = 61440. Its totient is φ = 12960.

The previous prime is 29287. The next prime is 29297. The reversal of 29295 is 59292.

29295 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 29295 - 2³ = 29287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

29295 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

2²⁹²⁹⁵ is an apocalyptic number.

29295 is an abundant number, since it is smaller than the sum of its proper divisors (32145).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30720).

29295 is a wasteful number, since it uses less digits than its factorization.

29295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 29295 is about 171.1578219072. The cubic root of 29295 is about 30.8269932585.

It can be divided in two parts, 29 and 295, that added together give a square (324 = 18²).

The spelling of 29295 in words is "twenty-nine thousand, two hundred ninety-five".