1378305 has 24 divisors (see below), whose sum is σ = 2419560. Its totient is φ = 725760.

The previous prime is 1378301. The next prime is 1378319. The reversal of 1378305 is 5038731.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 1046529 = 576^2 + 1023^2 .

It is not a de Polignac number, because 1378305 - 2² = 1378301 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 7⁷ + 8³ + 3¹² + 0 + 5⁵ .

It is not an unprimeable number, because it can be changed into a prime (1378301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765 + ... + 5045.

It is an arithmetic number, because the mean of its divisors is an integer number (100815).

It is a Proth number, since it is equal to 673 ⋅ 2¹¹ + 1 and 673 < 2¹¹.

2^1378305 is an apocalyptic number.

1378305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1378305 is a deficient number, since it is larger than the sum of its proper divisors (1041255).

1378305 is a wasteful number, since it uses less digits than its factorization.

1378305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1378305 is about 1174.0123508720. The cubic root of 1378305 is about 111.2880272307.

The spelling of 1378305 in words is "one million, three hundred seventy-eight thousand, three hundred five".