405105007 has 2 divisors, whose sum is σ = 405105008. Its totient is φ = 405105006.

The previous prime is 405104977. The next prime is 405105011. The reversal of 405105007 is 700501504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405105007 - 2⁷ = 405104879 is a prime.

It is a super-2 number, since 2×405105007² = 328220133392940098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405105097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202552503 + 202552504.

It is an arithmetic number, because the mean of its divisors is an integer number (202552504).

Almost surely, 2^405105007 is an apocalyptic number.

405105007 is a deficient number, since it is larger than the sum of its proper divisors (1).

405105007 is an equidigital number, since it uses as much as digits as its factorization.

405105007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 405105007 is about 20127.2205483022. The cubic root of 405105007 is about 739.9275598678.

The spelling of 405105007 in words is "four hundred five million, one hundred five thousand, seven".