824138 has 24 divisors (see below), whose sum is σ = 1485792. Its totient is φ = 335664.

The previous prime is 824137. The next prime is 824147. The reversal of 824138 is 831428.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19145 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (61908).

2⁸²⁴¹³⁸ is an apocalyptic number.

824138 is a deficient number, since it is larger than the sum of its proper divisors (661654).

824138 is a wasteful number, since it uses less digits than its factorization.

824138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 824138 is about 907.8204668325. The cubic root of 824138 is about 93.7561963312.

The spelling of 824138 in words is "eight hundred twenty-four thousand, one hundred thirty-eight".