416710961 has 2 divisors, whose sum is σ = 416710962. Its totient is φ = 416710960.

The previous prime is 416710949. The next prime is 416710969. The reversal of 416710961 is 169017614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415344400 + 1366561 = 20380^2 + 1169^2 .

It is a cyclic number.

It is not a de Polignac number, because 416710961 - 2¹⁸ = 416448817 is a prime.

It is not a weakly prime, because it can be changed into another prime (416710969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208355480 + 208355481.

It is an arithmetic number, because the mean of its divisors is an integer number (208355481).

Almost surely, 2^416710961 is an apocalyptic number.

It is an amenable number.

416710961 is a deficient number, since it is larger than the sum of its proper divisors (1).

416710961 is an equidigital number, since it uses as much as digits as its factorization.

416710961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 416710961 is about 20413.4994795111. The cubic root of 416710961 is about 746.9272569331.

The spelling of 416710961 in words is "four hundred sixteen million, seven hundred ten thousand, nine hundred sixty-one".