137743 has 2 divisors, whose sum is σ = 137744. Its totient is φ = 137742.

The previous prime is 137737. The next prime is 137771. The reversal of 137743 is 347731.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (347731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137743 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 7³ + 7⁶ + 4³ + 3⁹ .

137743 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68871 + 68872.

It is an arithmetic number, because the mean of its divisors is an integer number (68872).

2¹³⁷⁷⁴³ is an apocalyptic number.

137743 is a deficient number, since it is larger than the sum of its proper divisors (1).

137743 is an equidigital number, since it uses as much as digits as its factorization.

137743 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 25.

The square root of 137743 is about 371.1374408491. The cubic root of 137743 is about 51.6443932205.

The spelling of 137743 in words is "one hundred thirty-seven thousand, seven hundred forty-three".