137617 has 4 divisors (see below), whose sum is σ = 144880. Its totient is φ = 130356.

The previous prime is 137597. The next prime is 137623. The reversal of 137617 is 716731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 137617 - 2¹⁵ = 104849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137591 and 137600.

It is not an unprimeable number, because it can be changed into a prime (137117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3603 + ... + 3640.

It is an arithmetic number, because the mean of its divisors is an integer number (36220).

2¹³⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

137617 is a deficient number, since it is larger than the sum of its proper divisors (7263).

137617 is an equidigital number, since it uses as much as digits as its factorization.

137617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262.

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

The square root of 137617 is about 370.9676535764. The cubic root of 137617 is about 51.6286412314.

The spelling of 137617 in words is "one hundred thirty-seven thousand, six hundred seventeen".