212965 has 8 divisors (see below), whose sum is σ = 258048. Its totient is φ = 168720.

The previous prime is 212923. The next prime is 212969. The reversal of 212965 is 569212.

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

It is not a de Polignac number, because 212965 - 2⁷ = 212837 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 1066.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2²¹²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

212965 is a deficient number, since it is larger than the sum of its proper divisors (45083).

212965 is a wasteful number, since it uses less digits than its factorization.

212965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its digits is 1080, while the sum is 25.

The square root of 212965 is about 461.4813105641. The cubic root of 212965 is about 59.7176549198.

The spelling of 212965 in words is "two hundred twelve thousand, nine hundred sixty-five".