65977 has 4 divisors (see below), whose sum is σ = 69876. Its totient is φ = 62080.

The previous prime is 65963. The next prime is 65981. The reversal of 65977 is 77956.

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 46656 + 19321 = 216^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 65977 - 2¹¹ = 63929 is a prime.

It is a Duffinian number.

65977 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (65927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1924 + ... + 1957.

It is an arithmetic number, because the mean of its divisors is an integer number (17469).

2⁶⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

65977 is a deficient number, since it is larger than the sum of its proper divisors (3899).

65977 is a wasteful number, since it uses less digits than its factorization.

65977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898.

The product of its digits is 13230, while the sum is 34.

The square root of 65977 is about 256.8598839835. The cubic root of 65977 is about 40.4077052911.

The spelling of 65977 in words is "sixty-five thousand, nine hundred seventy-seven".