213126966 has 24 divisors (see below), whose sum is σ = 497296800. Its totient is φ = 65577456.

The previous prime is 213126961. The next prime is 213126967. The reversal of 213126966 is 669621312.

It is a happy number.

213126966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213126966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213126961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455166 + ... + 455633.

It is an arithmetic number, because the mean of its divisors is an integer number (20720700).

Almost surely, 2^213126966 is an apocalyptic number.

213126966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

213126966 is an abundant number, since it is smaller than the sum of its proper divisors (284169834).

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

213126966 is a wasteful number, since it uses less digits than its factorization.

213126966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910820 (or 910817 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 213126966 is about 14598.8686547965. The cubic root of 213126966 is about 597.3279008090.

The spelling of 213126966 in words is "two hundred thirteen million, one hundred twenty-six thousand, nine hundred sixty-six".