1320345 has 48 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 622080.

The previous prime is 1320343. The next prime is 1320353. The reversal of 1320345 is 5430231.

1320345 = 208² + 209² + ... + 234².

1320345 is a `hidden beast` number, since 1 + 320 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 1172889 = 384^2 + 1083^2 .

It is not a de Polignac number, because 1320345 - 2¹ = 1320343 is a prime.

1320345 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21615 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2^1320345 is an apocalyptic number.

1320345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1320345 is a deficient number, since it is larger than the sum of its proper divisors (1252407).

1320345 is a wasteful number, since it uses less digits than its factorization.

1320345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1320345 is about 1149.0626614767. The cubic root of 1320345 is about 109.7056870761.

Adding to 1320345 its reverse (5430231), we get a palindrome (6750576).

The spelling of 1320345 in words is "one million, three hundred twenty thousand, three hundred forty-five".