405105377 has 2 divisors, whose sum is σ = 405105378. Its totient is φ = 405105376.

The previous prime is 405105347. The next prime is 405105401. The reversal of 405105377 is 773501504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258598561 + 146506816 = 16081^2 + 12104^2 .

It is a cyclic number.

It is not a de Polignac number, because 405105377 - 2⁶ = 405105313 is a prime.

It is a super-2 number, since 2×405105377² = 328220732948624258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (405105307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202552688 + 202552689.

It is an arithmetic number, because the mean of its divisors is an integer number (202552689).

Almost surely, 2^405105377 is an apocalyptic number.

It is an amenable number.

405105377 is a deficient number, since it is larger than the sum of its proper divisors (1).

405105377 is an equidigital number, since it uses as much as digits as its factorization.

405105377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 405105377 is about 20127.2297398326. The cubic root of 405105377 is about 739.9277851370.

The spelling of 405105377 in words is "four hundred five million, one hundred five thousand, three hundred seventy-seven".