819025 has 9 divisors (see below), whose sum is σ = 1021233. Its totient is φ = 651600.

The previous prime is 819017. The next prime is 819029. The reversal of 819025 is 520918.

The square root of 819025 is 905.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 439569 + 379456 = 663^2 + 616^2 .

It is not a de Polignac number, because 819025 - 2³ = 819017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4435 + ... + 4615.

819025 is a Friedman number, since it can be written as (810+95)^2, using all its digits and the basic arithmetic operations.

2⁸¹⁹⁰²⁵ is an apocalyptic number.

819025 is the 905-th square number.

819025 is the 453-rd centered octagonal number.

It is an amenable number.

819025 is a deficient number, since it is larger than the sum of its proper divisors (202208).

819025 is an equidigital number, since it uses as much as digits as its factorization.

819025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 819025 is about 93.5619043475.

Multiplying 819025 by its sum of digits (25), we get a square (20475625 = 4525²).

819025 divided by its sum of digits (25) gives a square (32761 = 181²).

It can be divided in two parts, 81 and 9025, that multiplied together give a square (731025 = 855²).

The spelling of 819025 in words is "eight hundred nineteen thousand, twenty-five".