1682500 has 30 divisors (see below), whose sum is σ = 3684758. Its totient is φ = 672000.

The previous prime is 1682489. The next prime is 1682509. The reversal of 1682500 is 52861.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 806404 + 876096 = 898^2 + 936^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1682509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2164 + ... + 2836.

2^1682500 is an apocalyptic number.

1682500 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 1682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842379).

1682500 is an abundant number, since it is smaller than the sum of its proper divisors (2002258).

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

1682500 is an equidigital number, since it uses as much as digits as its factorization.

1682500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1682500 is about 1297.1121771073. The cubic root of 1682500 is about 118.9373773094.

The spelling of 1682500 in words is "one million, six hundred eighty-two thousand, five hundred".