65137 has 4 divisors (see below), whose sum is σ = 66420. Its totient is φ = 63856.

The previous prime is 65129. The next prime is 65141. The reversal of 65137 is 73156.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58081 + 7056 = 241^2 + 84^2 .

It is a cyclic number.

It is not a de Polignac number, because 65137 - 2³ = 65129 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65137.

It is not an unprimeable number, because it can be changed into a prime (65147) 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 in 3 ways as a sum of consecutive naturals, for example, 562 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (16605).

2⁶⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

65137 is a deficient number, since it is larger than the sum of its proper divisors (1283).

65137 is a wasteful number, since it uses less digits than its factorization.

65137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282.

The product of its digits is 630, while the sum is 22.

The square root of 65137 is about 255.2195133606. The cubic root of 65137 is about 40.2354859388.

It can be divided in two parts, 65 and 137, that added together give a palindrome (202).

The spelling of 65137 in words is "sixty-five thousand, one hundred thirty-seven".