1361409 has 16 divisors (see below), whose sum is σ = 2090880. Its totient is φ = 771840.

The previous prime is 1361401. The next prime is 1361417. The reversal of 1361409 is 9041631.

It is an interprime number because it is at equal distance from previous prime (1361401) and next prime (1361417).

It is not a de Polignac number, because 1361409 - 2³ = 1361401 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1361401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4927 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

2^1361409 is an apocalyptic number.

It is an amenable number.

1361409 is a deficient number, since it is larger than the sum of its proper divisors (729471).

1361409 is a wasteful number, since it uses less digits than its factorization.

1361409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1361409 is about 1166.7943263489. The cubic root of 1361409 is about 110.8314135885.

It can be divided in two parts, 1361 and 409, that added together give a triangular number (1770 = T₅₉).

The spelling of 1361409 in words is "one million, three hundred sixty-one thousand, four hundred nine".