416761 has 2 divisors, whose sum is σ = 416762. Its totient is φ = 416760.

The previous prime is 416719. The next prime is 416797. The reversal of 416761 is 167614.

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., 414736 + 2025 = 644^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 416761 - 2⁹ = 416249 is a prime.

It is a super-2 number, since 2×416761² = 347379462242, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (426761) 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, 208380 + 208381.

It is an arithmetic number, because the mean of its divisors is an integer number (208381).

2⁴¹⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

416761 is a deficient number, since it is larger than the sum of its proper divisors (1).

416761 is an equidigital number, since it uses as much as digits as its factorization.

416761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 416761 is about 645.5702905184. The cubic root of 416761 is about 74.6957152953.

The spelling of 416761 in words is "four hundred sixteen thousand, seven hundred sixty-one".