212085407 has 2 divisors, whose sum is σ = 212085408. Its totient is φ = 212085406.

The previous prime is 212085361. The next prime is 212085427. The reversal of 212085407 is 704580212.

212085407 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 is a cyclic number.

It is not a de Polignac number, because 212085407 - 2⁸ = 212085151 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212085407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212085427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106042703 + 106042704.

It is an arithmetic number, because the mean of its divisors is an integer number (106042704).

Almost surely, 2^212085407 is an apocalyptic number.

212085407 is a deficient number, since it is larger than the sum of its proper divisors (1).

212085407 is an equidigital number, since it uses as much as digits as its factorization.

212085407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 212085407 is about 14563.1523716536. The cubic root of 212085407 is about 596.3532572015.

The spelling of 212085407 in words is "two hundred twelve million, eighty-five thousand, four hundred seven".