825217 has 4 divisors (see below), whose sum is σ = 861120. Its totient is φ = 789316.

The previous prime is 825203. The next prime is 825229. The reversal of 825217 is 712528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 825217 - 2¹¹ = 823169 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁴ + 2¹⁰ + 5⁴ + 1 + 7⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 825191 and 825200.

It is not an unprimeable number, because it can be changed into a prime (825247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17917 + ... + 17962.

It is an arithmetic number, because the mean of its divisors is an integer number (215280).

2⁸²⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

825217 is a deficient number, since it is larger than the sum of its proper divisors (35903).

825217 is a wasteful number, since it uses less digits than its factorization.

825217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35902.

The product of its digits is 1120, while the sum is 25.

The square root of 825217 is about 908.4145529438. The cubic root of 825217 is about 93.7970951527.

It can be divided in two parts, 82521 and 7, that added together give a palindrome (82528).

The spelling of 825217 in words is "eight hundred twenty-five thousand, two hundred seventeen".