137967 has 4 divisors (see below), whose sum is σ = 183960. Its totient is φ = 91976.

The previous prime is 137957. The next prime is 137983. The reversal of 137967 is 769731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769731 = 3 ⋅256577.

It is a cyclic number.

It is not a de Polignac number, because 137967 - 2¹⁰ = 136943 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22992 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (45990).

2¹³⁷⁹⁶⁷ is an apocalyptic number.

137967 is a deficient number, since it is larger than the sum of its proper divisors (45993).

137967 is an equidigital number, since it uses as much as digits as its factorization.

137967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45992.

The product of its digits is 7938, while the sum is 33.

The square root of 137967 is about 371.4390932576. The cubic root of 137967 is about 51.6723730545.

The spelling of 137967 in words is "one hundred thirty-seven thousand, nine hundred sixty-seven".