137723 has 2 divisors, whose sum is σ = 137724. Its totient is φ = 137722.

The previous prime is 137713. The next prime is 137737. The reversal of 137723 is 327731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137723 - 2⁴ = 137707 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 7.

It is not a weakly prime, because it can be changed into another prime (137713) 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 as a sum of consecutive naturals, namely, 68861 + 68862.

It is an arithmetic number, because the mean of its divisors is an integer number (68862).

2¹³⁷⁷²³ is an apocalyptic number.

137723 is a deficient number, since it is larger than the sum of its proper divisors (1).

137723 is an equidigital number, since it uses as much as digits as its factorization.

137723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 23.

The square root of 137723 is about 371.1104956748. The cubic root of 137723 is about 51.6418935463.

The spelling of 137723 in words is "one hundred thirty-seven thousand, seven hundred twenty-three".