137771 has 2 divisors, whose sum is σ = 137772. Its totient is φ = 137770.

The previous prime is 137743. The next prime is 137777. The reversal of 137771 is 177731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137771 - 2⁶ = 137707 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 7 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 137771.

It is not a weakly prime, because it can be changed into another prime (137777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68885 + 68886.

It is an arithmetic number, because the mean of its divisors is an integer number (68886).

2¹³⁷⁷⁷¹ is an apocalyptic number.

137771 is a deficient number, since it is larger than the sum of its proper divisors (1).

137771 is an equidigital number, since it uses as much as digits as its factorization.

137771 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1029, while the sum is 26.

The square root of 137771 is about 371.1751608069. The cubic root of 137771 is about 51.6478923578.

The spelling of 137771 in words is "one hundred thirty-seven thousand, seven hundred seventy-one".