212414953 has 2 divisors, whose sum is σ = 212414954. Its totient is φ = 212414952.

The previous prime is 212414933. The next prime is 212414977. The reversal of 212414953 is 359414212.

212414953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208138329 + 4276624 = 14427^2 + 2068^2 .

It is a cyclic number.

It is not a de Polignac number, because 212414953 - 2⁹ = 212414441 is a prime.

It is a super-2 number, since 2×212414953² = 90240224515984418, which contains 22 as substring.

It is equal to p_11727463 and since 212414953 and 11727463 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (212414933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106207476 + 106207477.

It is an arithmetic number, because the mean of its divisors is an integer number (106207477).

Almost surely, 2^212414953 is an apocalyptic number.

It is an amenable number.

212414953 is a deficient number, since it is larger than the sum of its proper divisors (1).

212414953 is an equidigital number, since it uses as much as digits as its factorization.

212414953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640, while the sum is 31.

The square root of 212414953 is about 14574.4623571506. The cubic root of 212414953 is about 596.6619757996.

The spelling of 212414953 in words is "two hundred twelve million, four hundred fourteen thousand, nine hundred fifty-three".