409261 has 2 divisors, whose sum is σ = 409262. Its totient is φ = 409260.

The previous prime is 409259. The next prime is 409267. The reversal of 409261 is 162904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 42025 = 606^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 409261 - 2¹ = 409259 is a prime.

It is a super-2 number, since 2×409261² = 334989132242, which contains 22 as substring.

Together with 409259, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204630 + 204631.

It is an arithmetic number, because the mean of its divisors is an integer number (204631).

2⁴⁰⁹²⁶¹ is an apocalyptic number.

It is an amenable number.

409261 is a deficient number, since it is larger than the sum of its proper divisors (1).

409261 is an equidigital number, since it uses as much as digits as its factorization.

409261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 409261 is about 639.7351014287. The cubic root of 409261 is about 74.2449274197.

The spelling of 409261 in words is "four hundred nine thousand, two hundred sixty-one".