135617 has 2 divisors, whose sum is σ = 135618. Its totient is φ = 135616.

The previous prime is 135613. The next prime is 135623. The reversal of 135617 is 716531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 33856 = 319^2 + 184^2 .

It is an emirp because it is prime and its reverse (716531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135617 - 2² = 135613 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 135592 and 135601.

It is not a weakly prime, because it can be changed into another prime (135613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67808 + 67809.

It is an arithmetic number, because the mean of its divisors is an integer number (67809).

2¹³⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

135617 is a deficient number, since it is larger than the sum of its proper divisors (1).

135617 is an equidigital number, since it uses as much as digits as its factorization.

135617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 23.

The square root of 135617 is about 368.2621348985. The cubic root of 135617 is about 51.3773118741.

The spelling of 135617 in words is "one hundred thirty-five thousand, six hundred seventeen".