1382200 has 24 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 552800.

The previous prime is 1382191. The next prime is 1382201. The reversal of 1382200 is 22831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3256 + ... + 3655.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

2^1382200 is an apocalyptic number.

1382200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382200 is an abundant number, since it is smaller than the sum of its proper divisors (1831880).

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

1382200 is a wasteful number, since it uses less digits than its factorization.

1382200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1382200 is about 1175.6700217323. The cubic root of 1382200 is about 111.3927595383.

The spelling of 1382200 in words is "one million, three hundred eighty-two thousand, two hundred".