67137 has 16 divisors (see below), whose sum is σ = 107520. Its totient is φ = 36432.

The previous prime is 67129. The next prime is 67139. The reversal of 67137 is 73176.

67137 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 67137 - 2³ = 67129 is a prime.

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 67137.

It is not an unprimeable number, because it can be changed into a prime (67139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁶⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

67137 is a deficient number, since it is larger than the sum of its proper divisors (40383).

67137 is a wasteful number, since it uses less digits than its factorization.

67137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 882, while the sum is 24.

The square root of 67137 is about 259.1080855550. The cubic root of 67137 is about 40.6431453458.

Adding to 67137 its sum of digits (24), we get a triangular number (67161 = T₃₆₆).

The spelling of 67137 in words is "sixty-seven thousand, one hundred thirty-seven".