29313 has 6 divisors (see below), whose sum is σ = 42354. Its totient is φ = 19536.

The previous prime is 29311. The next prime is 29327. The reversal of 29313 is 31392.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 1089 = 168^2 + 33^2 .

It is not a de Polignac number, because 29313 - 2¹ = 29311 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (29311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1620 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (7059).

2²⁹³¹³ is an apocalyptic number.

It is an amenable number.

29313 is a deficient number, since it is larger than the sum of its proper divisors (13041).

29313 is a wasteful number, since it uses less digits than its factorization.

29313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3260 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 29313 is about 171.2103968806. The cubic root of 29313 is about 30.8333057381.

The spelling of 29313 in words is "twenty-nine thousand, three hundred thirteen".