65997 has 6 divisors (see below), whose sum is σ = 95342. Its totient is φ = 43992.

The previous prime is 65993. The next prime is 66029. The reversal of 65997 is 79956.

65997 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 30276 = 189^2 + 174^2 .

It is not a de Polignac number, because 65997 - 2² = 65993 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65993) 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 5 ways as a sum of consecutive naturals, for example, 3658 + ... + 3675.

2⁶⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

65997 is a deficient number, since it is larger than the sum of its proper divisors (29345).

65997 is a wasteful number, since it uses less digits than its factorization.

65997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7336 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 65997 is about 256.8988127649. The cubic root of 65997 is about 40.4117878879.

The spelling of 65997 in words is "sixty-five thousand, nine hundred ninety-seven".