34137 has 6 divisors (see below), whose sum is σ = 49322. Its totient is φ = 22752.

The previous prime is 34129. The next prime is 34141. The reversal of 34137 is 73143.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 9801 = 156^2 + 99^2 .

It is not a de Polignac number, because 34137 - 2³ = 34129 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34137.

It is not an unprimeable number, because it can be changed into a prime (34127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888 + ... + 1905.

2³⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

34137 is a deficient number, since it is larger than the sum of its proper divisors (15185).

34137 is a wasteful number, since it uses less digits than its factorization.

34137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3796 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 34137 is about 184.7620090820. The cubic root of 34137 is about 32.4395721331.

It can be divided in two parts, 341 and 37, that added together give a triangular number (378 = T₂₇).

The spelling of 34137 in words is "thirty-four thousand, one hundred thirty-seven".