13382000 has 40 divisors (see below), whose sum is σ = 32362512. Its totient is φ = 5352000.

The previous prime is 13381993. The next prime is 13382003. The reversal of 13382000 is 28331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13382000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 5345.

Almost surely, 2^13382000 is an apocalyptic number.

13382000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13382000 is an abundant number, since it is smaller than the sum of its proper divisors (18980512).

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

13382000 is an equidigital number, since it uses as much as digits as its factorization.

13382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13382000 is about 3658.1416046949. The cubic root of 13382000 is about 237.4143735647.

The spelling of 13382000 in words is "thirteen million, three hundred eighty-two thousand".