824125 has 16 divisors (see below), whose sum is σ = 1085760. Its totient is φ = 622800.

The previous prime is 824123. The next prime is 824137. The reversal of 824125 is 521428.

It is not a de Polignac number, because 824125 - 2¹ = 824123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 824096 and 824105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202 + ... + 2548.

It is an arithmetic number, because the mean of its divisors is an integer number (67860).

2⁸²⁴¹²⁵ is an apocalyptic number.

It is an amenable number.

824125 is a deficient number, since it is larger than the sum of its proper divisors (261635).

824125 is a wasteful number, since it uses less digits than its factorization.

824125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 824125 is about 907.8133067983. The cubic root of 824125 is about 93.7557033567.

It can be divided in two parts, 824 and 125, that added together give a palindrome (949).

The spelling of 824125 in words is "eight hundred twenty-four thousand, one hundred twenty-five".