1382100 has 72 divisors (see below), whose sum is σ = 4249728. Its totient is φ = 345600.

The previous prime is 1382099. The next prime is 1382107. The reversal of 1382100 is 12831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1382100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4965 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (59024).

2^1382100 is an apocalyptic number.

1382100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864).

1382100 is an abundant number, since it is smaller than the sum of its proper divisors (2867628).

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

1382100 is a wasteful number, since it uses less digits than its factorization.

1382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1382100 is about 1175.6274920229. The cubic root of 1382100 is about 111.3900731098.

Adding to 1382100 its reverse (12831), we get a palindrome (1394931).

The spelling of 1382100 in words is "one million, three hundred eighty-two thousand, one hundred".