409961 has 2 divisors, whose sum is σ = 409962. Its totient is φ = 409960.

The previous prime is 409951. The next prime is 409967. The reversal of 409961 is 169904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 361 = 640^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 409961 - 2⁶ = 409897 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409961.

It is not a weakly prime, because it can be changed into another prime (409967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204980 + 204981.

It is an arithmetic number, because the mean of its divisors is an integer number (204981).

2⁴⁰⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

409961 is a deficient number, since it is larger than the sum of its proper divisors (1).

409961 is an equidigital number, since it uses as much as digits as its factorization.

409961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 409961 is about 640.2819691355. The cubic root of 409961 is about 74.2872328162.

It can be divided in two parts, 40 and 9961, that added together give a palindrome (10001).

The spelling of 409961 in words is "four hundred nine thousand, nine hundred sixty-one".