819825 has 24 divisors (see below), whose sum is σ = 1437408. Its totient is φ = 410880.

The previous prime is 819823. The next prime is 819827. The reversal of 819825 is 528918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (819823) and next prime (819827).

It is not a de Polignac number, because 819825 - 2¹ = 819823 is a prime.

It is a super-2 number, since 2×819825² = 1344226061250, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (819823) 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, 954 + ... + 1596.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2⁸¹⁹⁸²⁵ is an apocalyptic number.

819825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

819825 is a deficient number, since it is larger than the sum of its proper divisors (617583).

819825 is a wasteful number, since it uses less digits than its factorization.

819825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 668 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 819825 is about 905.4418810724. The cubic root of 819825 is about 93.5923572911.

The spelling of 819825 in words is "eight hundred nineteen thousand, eight hundred twenty-five".