13782465 has 24 divisors (see below), whose sum is σ = 24048960. Its totient is φ = 7301664.

The previous prime is 13782409. The next prime is 13782481. The reversal of 13782465 is 56428731.

It is not a de Polignac number, because 13782465 - 2⁹ = 13781953 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6396 + ... + 8274.

It is an arithmetic number, because the mean of its divisors is an integer number (1002040).

Almost surely, 2^13782465 is an apocalyptic number.

13782465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13782465 is a deficient number, since it is larger than the sum of its proper divisors (10266495).

13782465 is a wasteful number, since it uses less digits than its factorization.

13782465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2050 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13782465 is about 3712.4742423349. The cubic root of 13782465 is about 239.7593942843.

The spelling of 13782465 in words is "thirteen million, seven hundred eighty-two thousand, four hundred sixty-five".