13005384 has 48 divisors (see below), whose sum is σ = 37825200. Its totient is φ = 3715488.

The previous prime is 13005371. The next prime is 13005397. The reversal of 13005384 is 48350031.

It is an interprime number because it is at equal distance from previous prime (13005371) and next prime (13005397).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4354 + ... + 6705.

It is an arithmetic number, because the mean of its divisors is an integer number (788025).

Almost surely, 2^13005384 is an apocalyptic number.

13005384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13005384 is an abundant number, since it is smaller than the sum of its proper divisors (24819816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005384 is a wasteful number, since it uses less digits than its factorization.

13005384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11082 (or 11071 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13005384 is about 3606.2978246396. The cubic root of 13005384 is about 235.1659247687.

The spelling of 13005384 in words is "thirteen million, five thousand, three hundred eighty-four".