137791 has 2 divisors, whose sum is σ = 137792. Its totient is φ = 137790.

The previous prime is 137777. The next prime is 137803. The reversal of 137791 is 197731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137791 - 2⁹ = 137279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68895 + 68896.

It is an arithmetic number, because the mean of its divisors is an integer number (68896).

137791 is a Friedman number, since it can be written as 17+7*(3^9-1), using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁹¹ is an apocalyptic number.

137791 is a deficient number, since it is larger than the sum of its proper divisors (1).

137791 is an equidigital number, since it uses as much as digits as its factorization.

137791 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1323, while the sum is 28.

The square root of 137791 is about 371.2021012872. The cubic root of 137791 is about 51.6503914514.

The spelling of 137791 in words is "one hundred thirty-seven thousand, seven hundred ninety-one".