216965 has 8 divisors (see below), whose sum is σ = 297600. Its totient is φ = 148752.

The previous prime is 216947. The next prime is 216967. The reversal of 216965 is 569612.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 216965 - 2⁶ = 216901 is a prime.

It is a super-2 number, since 2×216965² = 94147622450, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216965.

It is not an unprimeable number, because it can be changed into a prime (216967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2²¹⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

216965 is a deficient number, since it is larger than the sum of its proper divisors (80635).

216965 is an equidigital number, since it uses as much as digits as its factorization.

216965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211.

The product of its digits is 3240, while the sum is 29.

The square root of 216965 is about 465.7950192950. The cubic root of 216965 is about 60.0892191186.

It can be divided in two parts, 2 and 16965, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 216965 in words is "two hundred sixteen thousand, nine hundred sixty-five".