212967113 has 2 divisors, whose sum is σ = 212967114. Its totient is φ = 212967112.

The previous prime is 212967019. The next prime is 212967119. The reversal of 212967113 is 311769212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125507209 + 87459904 = 11203^2 + 9352^2 .

It is a cyclic number.

It is not a de Polignac number, because 212967113 - 2¹⁴ = 212950729 is a prime.

It is a Chen prime.

It is equal to p_11756264 and since 212967113 and 11756264 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212967113.

It is not a weakly prime, because it can be changed into another prime (212967119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106483556 + 106483557.

It is an arithmetic number, because the mean of its divisors is an integer number (106483557).

Almost surely, 2^212967113 is an apocalyptic number.

It is an amenable number.

212967113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212967113 is an equidigital number, since it uses as much as digits as its factorization.

212967113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 32.

The square root of 212967113 is about 14593.3927857781. The cubic root of 212967113 is about 597.1785242175.

The spelling of 212967113 in words is "two hundred twelve million, nine hundred sixty-seven thousand, one hundred thirteen".