1409 has 2 divisors, whose sum is σ = 1410. Its totient is φ = 1408.

The previous prime is 1399. The next prime is 1423. The reversal of 1409 is 9041.

It is an a-pointer prime, because the next prime (1423) can be obtained adding 1409 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784 + 625 = 28^2 + 25^2 .

It is an emirp because it is prime and its reverse (9041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1409 - 2^{8} = 1153 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1393 and 1402.

It is not a weakly prime, because it can be changed into another prime (1429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 704 + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (705).

It is a Proth number, since it is equal to 11 ⋅ 2^{7} + 1 and 11 < 2^{7}.

It is an amenable number.

1409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1409 is an equidigital number, since it uses as much as digits as its factorization.

1409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1409 is about 37.5366487582. The cubic root of 1409 is about 11.2108101410.

The spelling of 1409 in words is "one thousand, four hundred nine".

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