1327105 has 16 divisors (see below), whose sum is σ = 1817424. Its totient is φ = 921600.

The previous prime is 1327099. The next prime is 1327111. The reversal of 1327105 is 5017231.

It is a Cunningham number, because it is equal to 1152²+1.

It is an interprime number because it is at equal distance from previous prime (1327099) and next prime (1327111).

It can be written as a sum of positive squares in 8 ways, for example, as 294849 + 1032256 = 543^2 + 1016^2 .

It is not a de Polignac number, because 1327105 - 2¹³ = 1318913 is a prime.

It is a super-2 number, since 2×1327105² = 3522415362050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (113589).

It is a Proth number, since it is equal to 81 ⋅ 2¹⁴ + 1 and 81 < 2¹⁴.

2^1327105 is an apocalyptic number.

It is an amenable number.

1327105 is a deficient number, since it is larger than the sum of its proper divisors (490319).

1327105 is a wasteful number, since it uses less digits than its factorization.

1327105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1327105 is about 1152.0004340277. Note that the first 3 decimals coincide. The cubic root of 1327105 is about 109.8925948872.

The spelling of 1327105 in words is "one million, three hundred twenty-seven thousand, one hundred five".