361409 has 2 divisors, whose sum is σ = 361410. Its totient is φ = 361408.

The previous prime is 361373. The next prime is 361411. The reversal of 361409 is 904163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 34225 = 572^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 361409 - 2¹⁶ = 295873 is a prime.

It is a Sophie Germain prime.

Together with 361411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361409.

It is not a weakly prime, because it can be changed into another prime (361469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180704 + 180705.

It is an arithmetic number, because the mean of its divisors is an integer number (180705).

2³⁶¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

361409 is a deficient number, since it is larger than the sum of its proper divisors (1).

361409 is an equidigital number, since it uses as much as digits as its factorization.

361409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 361409 is about 601.1730200200. The cubic root of 361409 is about 71.2305538395.

The spelling of 361409 in words is "three hundred sixty-one thousand, four hundred nine".