417821157961 has 2 divisors, whose sum is σ = 417821157962. Its totient is φ = 417821157960.

The previous prime is 417821157893. The next prime is 417821157967. The reversal of 417821157961 is 169751128714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253467943936 + 164353214025 = 503456^2 + 405405^2 .

It is a cyclic number.

It is not a de Polignac number, because 417821157961 - 2¹⁵ = 417821125193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417821157899 and 417821157908.

It is not a weakly prime, because it can be changed into another prime (417821157967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208910578980 + 208910578981.

It is an arithmetic number, because the mean of its divisors is an integer number (208910578981).

Almost surely, 2^417821157961 is an apocalyptic number.

It is an amenable number.

417821157961 is a deficient number, since it is larger than the sum of its proper divisors (1).

417821157961 is an equidigital number, since it uses as much as digits as its factorization.

417821157961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 52.

The spelling of 417821157961 in words is "four hundred seventeen billion, eight hundred twenty-one million, one hundred fifty-seven thousand, nine hundred sixty-one".