65557 has 2 divisors, whose sum is σ = 65558. Its totient is φ = 65556.

The previous prime is 65551. The next prime is 65563. The reversal of 65557 is 75556.

It is a balanced prime because it is at equal distance from previous prime (65551) and next prime (65563).

It can be written as a sum of positive squares in only one way, i.e., 60516 + 5041 = 246^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 65557 - 2¹⁵ = 32789 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32778 + 32779.

It is an arithmetic number, because the mean of its divisors is an integer number (32779).

2⁶⁵⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

65557 is a deficient number, since it is larger than the sum of its proper divisors (1).

65557 is an equidigital number, since it uses as much as digits as its factorization.

65557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5250, while the sum is 28.

The square root of 65557 is about 256.0410123398. The cubic root of 65557 is about 40.3217795075.

Adding to 65557 its product of digits (5250), we get a palindrome (70807).

Subtracting 65557 from its reverse (75556), we obtain a palindrome (9999).

The spelling of 65557 in words is "sixty-five thousand, five hundred fifty-seven".