212967 has 6 divisors (see below), whose sum is σ = 307632. Its totient is φ = 141972.

The previous prime is 212923. The next prime is 212969. The reversal of 212967 is 769212.

It is not a de Polignac number, because 212967 - 2⁶ = 212903 is a prime.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212967.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11823 + ... + 11840.

It is an arithmetic number, because the mean of its divisors is an integer number (51272).

2²¹²⁹⁶⁷ is an apocalyptic number.

212967 is a deficient number, since it is larger than the sum of its proper divisors (94665).

212967 is a wasteful number, since it uses less digits than its factorization.

212967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23669 (or 23666 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 212967 is about 461.4834774940. The cubic root of 212967 is about 59.7178418597.

The spelling of 212967 in words is "two hundred twelve thousand, nine hundred sixty-seven".