825363 has 32 divisors (see below), whose sum is σ = 1528320. Its totient is φ = 427680.

The previous prime is 825361. The next prime is 825389. The reversal of 825363 is 363528.

It is not a de Polignac number, because 825363 - 2¹ = 825361 is a prime.

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

825363 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (825361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (47760).

2⁸²⁵³⁶³ is an apocalyptic number.

825363 is a deficient number, since it is larger than the sum of its proper divisors (702957).

825363 is a wasteful number, since it uses less digits than its factorization.

825363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

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

The square root of 825363 is about 908.4949091767. The cubic root of 825363 is about 93.8026264527.

It can be divided in two parts, 82 and 5363, that added together give a palindrome (5445).

The spelling of 825363 in words is "eight hundred twenty-five thousand, three hundred sixty-three".