824142 has 16 divisors (see below), whose sum is σ = 1798272. Its totient is φ = 249720.

The previous prime is 824137. The next prime is 824147. The reversal of 824142 is 241428.

824142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (824137) and next prime (824147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824147) by changing a digit.

824142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6178 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (112392).

2⁸²⁴¹⁴² is an apocalyptic number.

824142 is an abundant number, since it is smaller than the sum of its proper divisors (974130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

824142 is a wasteful number, since it uses less digits than its factorization.

824142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12503.

The product of its digits is 512, while the sum is 21.

The square root of 824142 is about 907.8226699086. The cubic root of 824142 is about 93.7563480146.

It can be divided in two parts, 82 and 4142, that added together give a palindrome (4224).

The spelling of 824142 in words is "eight hundred twenty-four thousand, one hundred forty-two".