13782945 has 32 divisors (see below), whose sum is σ = 24321024. Its totient is φ = 6609600.

The previous prime is 13782943. The next prime is 13782959. The reversal of 13782945 is 54928731.

13782945 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13782945 - 2¹ = 13782943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13782943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16590 + ... + 17400.

It is an arithmetic number, because the mean of its divisors is an integer number (760032).

Almost surely, 2^13782945 is an apocalyptic number.

13782945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13782945 is a deficient number, since it is larger than the sum of its proper divisors (10538079).

13782945 is a wasteful number, since it uses less digits than its factorization.

13782945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933.

The product of its digits is 60480, while the sum is 39.

The square root of 13782945 is about 3712.5388886852. The cubic root of 13782945 is about 239.7621776077.

The spelling of 13782945 in words is "thirteen million, seven hundred eighty-two thousand, nine hundred forty-five".