65577 has 4 divisors (see below), whose sum is σ = 87440.
Its totient is φ = 43716.
The previous prime is 65563. The next prime is 65579. The reversal of 65577 is 77556.
Adding to 65577 its product of digits (7350), we get a palindrome (72927).
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 not a de Polignac number, because 65577 - 27 = 65449 is a prime.
It is a D-number.
It is a Duffinian number.
It is a plaindrome in base 6 and base 15.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65577.
It is not an unprimeable number, because it can be changed into a prime (65579) 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, 10927 + ... + 10932.
It is an arithmetic number, because the mean of its divisors is an integer number (21860).
265577 is an apocalyptic number.
It is an amenable number.
65577 is a deficient number, since it is larger than the sum of its proper divisors (21863).
65577 is a wasteful number, since it uses less digits than its factorization.
65577 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21862.
The product of its digits is 7350, while the sum is 30.
The square root of 65577 is about 256.0800656045.
The cubic root of 65577 is about 40.3258795202.
The spelling of 65577 in words is "sixty-five thousand, five hundred seventy-seven".