29137 has 2 divisors, whose sum is σ = 29138. Its totient is φ = 29136.

The previous prime is 29131. The next prime is 29147. The reversal of 29137 is 73192.

29137 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 576 = 169^2 + 24^2 .

29137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 29137 - 2³ = 29129 is a prime.

29137 is a lucky 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 29137.

It is not a weakly prime, because it can be changed into another prime (29131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14568 + 14569.

It is an arithmetic number, because the mean of its divisors is an integer number (14569).

2²⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

29137 is a deficient number, since it is larger than the sum of its proper divisors (1).

29137 is an equidigital number, since it uses as much as digits as its factorization.

29137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 22.

The square root of 29137 is about 170.6956355622. The cubic root of 29137 is about 30.7714724328.

The spelling of 29137 in words is "twenty-nine thousand, one hundred thirty-seven".