212968 has 16 divisors (see below), whose sum is σ = 456480. Its totient is φ = 91248.

The previous prime is 212923. The next prime is 212969. The reversal of 212968 is 869212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 3 ways as a sum of consecutive naturals, for example, 1846 + ... + 1957.

It is an arithmetic number, because the mean of its divisors is an integer number (28530).

2²¹²⁹⁶⁸ is an apocalyptic number.

212968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212968 is an abundant number, since it is smaller than the sum of its proper divisors (243512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212968 is a wasteful number, since it uses less digits than its factorization.

212968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3812 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 212968 is about 461.4845609552. The cubic root of 212968 is about 59.7179353292.

It can be divided in two parts, 2129 and 68, that added together give a cube (2197 = 13³).

The spelling of 212968 in words is "two hundred twelve thousand, nine hundred sixty-eight".