137587 has 2 divisors, whose sum is σ = 137588. Its totient is φ = 137586.

The previous prime is 137573. The next prime is 137593. The reversal of 137587 is 785731.

137587 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (785731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137587 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68793 + 68794.

It is an arithmetic number, because the mean of its divisors is an integer number (68794).

2¹³⁷⁵⁸⁷ is an apocalyptic number.

137587 is a deficient number, since it is larger than the sum of its proper divisors (1).

137587 is an equidigital number, since it uses as much as digits as its factorization.

137587 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 31.

The square root of 137587 is about 370.9272165803. The cubic root of 137587 is about 51.6248893407.

The spelling of 137587 in words is "one hundred thirty-seven thousand, five hundred eighty-seven".