409167961 has 2 divisors, whose sum is σ = 409167962. Its totient is φ = 409167960.

The previous prime is 409167943. The next prime is 409167973. The reversal of 409167961 is 169761904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408807961 + 360000 = 20219^2 + 600^2 .

It is a cyclic number.

It is not a de Polignac number, because 409167961 - 2¹⁹ = 408643673 is a prime.

It is not a weakly prime, because it can be changed into another prime (409167911) 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, 204583980 + 204583981.

It is an arithmetic number, because the mean of its divisors is an integer number (204583981).

Almost surely, 2^409167961 is an apocalyptic number.

It is an amenable number.

409167961 is a deficient number, since it is larger than the sum of its proper divisors (1).

409167961 is an equidigital number, since it uses as much as digits as its factorization.

409167961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 409167961 is about 20227.9005583872. The cubic root of 409167961 is about 742.3930085759.

The spelling of 409167961 in words is "four hundred nine million, one hundred sixty-seven thousand, nine hundred sixty-one".