212946401 has 2 divisors, whose sum is σ = 212946402. Its totient is φ = 212946400.

The previous prime is 212946343. The next prime is 212946407. The reversal of 212946401 is 104649212.

212946401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195972001 + 16974400 = 13999^2 + 4120^2 .

It is a cyclic number.

It is not a de Polignac number, because 212946401 - 2²² = 208752097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212946407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106473200 + 106473201.

It is an arithmetic number, because the mean of its divisors is an integer number (106473201).

Almost surely, 2^212946401 is an apocalyptic number.

It is an amenable number.

212946401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212946401 is an equidigital number, since it uses as much as digits as its factorization.

212946401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 212946401 is about 14592.6831323098. The cubic root of 212946401 is about 597.1591641664.

The spelling of 212946401 in words is "two hundred twelve million, nine hundred forty-six thousand, four hundred one".