405016961 has 2 divisors, whose sum is σ = 405016962. Its totient is φ = 405016960.

The previous prime is 405016933. The next prime is 405016967. The reversal of 405016961 is 169610504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276058225 + 128958736 = 16615^2 + 11356^2 .

It is a cyclic number.

It is not a de Polignac number, because 405016961 - 2¹⁰ = 405015937 is a prime.

It is not a weakly prime, because it can be changed into another prime (405016967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202508480 + 202508481.

It is an arithmetic number, because the mean of its divisors is an integer number (202508481).

Almost surely, 2^405016961 is an apocalyptic number.

It is an amenable number.

405016961 is a deficient number, since it is larger than the sum of its proper divisors (1).

405016961 is an equidigital number, since it uses as much as digits as its factorization.

405016961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 405016961 is about 20125.0331925192. The cubic root of 405016961 is about 739.8739504076.

The spelling of 405016961 in words is "four hundred five million, sixteen thousand, nine hundred sixty-one".