137867 has 2 divisors, whose sum is σ = 137868. Its totient is φ = 137866.

The previous prime is 137849. The next prime is 137869. The reversal of 137867 is 768731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137867 - 2⁶ = 137803 is a prime.

Together with 137869, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68933 + 68934.

It is an arithmetic number, because the mean of its divisors is an integer number (68934).

2¹³⁷⁸⁶⁷ is an apocalyptic number.

137867 is a deficient number, since it is larger than the sum of its proper divisors (1).

137867 is an equidigital number, since it uses as much as digits as its factorization.

137867 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 32.

The square root of 137867 is about 371.3044572854. The cubic root of 137867 is about 51.6598858022.

The spelling of 137867 in words is "one hundred thirty-seven thousand, eight hundred sixty-seven".