137671 has 4 divisors (see below), whose sum is σ = 142144. Its totient is φ = 133200.

The previous prime is 137659. The next prime is 137699. The reversal of 137671 is 176731.

137671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 176731 = 31 ⋅5701.

It is a cyclic number.

It is not a de Polignac number, because 137671 - 2⁵ = 137639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2190 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (35536).

2¹³⁷⁶⁷¹ is an apocalyptic number.

137671 is a deficient number, since it is larger than the sum of its proper divisors (4473).

137671 is an equidigital number, since it uses as much as digits as its factorization.

137671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472.

The product of its digits is 882, while the sum is 25.

The square root of 137671 is about 371.0404290640. The cubic root of 137671 is about 51.6353932607.

Subtracting 137671 from its reverse (176731), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 137 and 671, that added together give a palindrome (808).

The spelling of 137671 in words is "one hundred thirty-seven thousand, six hundred seventy-one".