214965 has 24 divisors (see below), whose sum is σ = 395928. Its totient is φ = 107520.

The previous prime is 214943. The next prime is 214967. The reversal of 214965 is 569412.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 154449 = 246^2 + 393^2 .

It is not a de Polignac number, because 214965 - 2¹¹ = 212917 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

214965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (16497).

2²¹⁴⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

214965 is a deficient number, since it is larger than the sum of its proper divisors (180963).

214965 is a wasteful number, since it uses less digits than its factorization.

214965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 214965 is about 463.6431817680. The cubic root of 214965 is about 59.9040131908.

The spelling of 214965 in words is "two hundred fourteen thousand, nine hundred sixty-five".