29131 has 2 divisors, whose sum is σ = 29132. Its totient is φ = 29130.

The previous prime is 29129. The next prime is 29137. The reversal of 29131 is 13192.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 29131 - 2¹ = 29129 is a prime.

It is a super-2 number, since 2×29131² = 1697230322, which contains 22 as substring.

Together with 29129, it forms a pair of twin primes.

It is equal to p₃₁₆₆ and since 29131 and 3166 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (29137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14565 + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (14566).

2²⁹¹³¹ is an apocalyptic number.

29131 is a deficient number, since it is larger than the sum of its proper divisors (1).

29131 is an equidigital number, since it uses as much as digits as its factorization.

29131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 16.

The square root of 29131 is about 170.6780595156. The cubic root of 29131 is about 30.7693600956.

The spelling of 29131 in words is "twenty-nine thousand, one hundred thirty-one".