825633 has 10 divisors (see below), whose sum is σ = 1233474. Its totient is φ = 550368.

The previous prime is 825613. The next prime is 825637. The reversal of 825633 is 336528.

825633 is a `hidden beast` number, since 8 + 25 + 633 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 63504 = 873^2 + 252^2 .

It is not a de Polignac number, because 825633 - 2¹⁰ = 824609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 8⁶ + 2¹⁴ + 6² + 5⁶ + 3 + 3¹² .

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 825597 and 825606.

It is not an unprimeable number, because it can be changed into a prime (825637) 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, 5016 + ... + 5177.

2⁸²⁵⁶³³ is an apocalyptic number.

It is an amenable number.

825633 is a deficient number, since it is larger than the sum of its proper divisors (407841).

825633 is a wasteful number, since it uses less digits than its factorization.

825633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10196 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 825633 is about 908.6434944465. The cubic root of 825633 is about 93.8128538508.

It can be divided in two parts, 825 and 633, that multiplied together give a palindrome (522225).

The spelling of 825633 in words is "eight hundred twenty-five thousand, six hundred thirty-three".