13182345 has 60 divisors (see below), whose sum is σ = 26070660. Its totient is φ = 6367680.

The previous prime is 13182331. The next prime is 13182353. The reversal of 13182345 is 54328131.

It is a happy number.

13182345 is a `hidden beast` number, since 1 + 318 + 2 + 345 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 10673289 = 1584^2 + 3267^2 .

It is not a de Polignac number, because 13182345 - 2⁴ = 13182329 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48871 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 2^13182345 is an apocalyptic number.

13182345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13182345 is a deficient number, since it is larger than the sum of its proper divisors (12888315).

13182345 is a wasteful number, since it uses less digits than its factorization.

13182345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13182345 is about 3630.7499225367. The cubic root of 13182345 is about 236.2277378872.

It can be divided in two parts, 1318 and 2345, that added together give a palindrome (3663).

The spelling of 13182345 in words is "thirteen million, one hundred eighty-two thousand, three hundred forty-five".