135797 has 4 divisors (see below), whose sum is σ = 136620. Its totient is φ = 134976.

The previous prime is 135787. The next prime is 135799. The reversal of 135797 is 797531.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 797531 = 7 ⋅113933.

It can be written as a sum of positive squares in 2 ways, for example, as 108241 + 27556 = 329^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 135797 - 2⁴ = 135781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135797.

It is not an unprimeable number, because it can be changed into a prime (135799) 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, 68 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (34155).

2¹³⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

135797 is a deficient number, since it is larger than the sum of its proper divisors (823).

135797 is an equidigital number, since it uses as much as digits as its factorization.

135797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822.

The product of its digits is 6615, while the sum is 32.

The square root of 135797 is about 368.5064449911. The cubic root of 135797 is about 51.4000322992.

The spelling of 135797 in words is "one hundred thirty-five thousand, seven hundred ninety-seven".