19830825 has 60 divisors (see below), whose sum is σ = 42011200. Its totient is φ = 9059040.

The previous prime is 19830821. The next prime is 19830829. The reversal of 19830825 is 52803891.

It is an interprime number because it is at equal distance from previous prime (19830821) and next prime (19830829).

It is not a de Polignac number, because 19830825 - 2² = 19830821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19830825.

It is not an unprimeable number, because it can be changed into a prime (19830821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13476 + ... + 14874.

Almost surely, 2^19830825 is an apocalyptic number.

19830825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19830825 is an abundant number, since it is smaller than the sum of its proper divisors (22180375).

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

19830825 is a wasteful number, since it uses less digits than its factorization.

19830825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 19830825 is about 4453.1814470107. The cubic root of 19830825 is about 270.6742408182.

The spelling of 19830825 in words is "nineteen million, eight hundred thirty thousand, eight hundred twenty-five".