7823842 has 32 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 3283200.

The previous prime is 7823833. The next prime is 7823869. The reversal of 7823842 is 2483287.

It is a super-2 number, since 2×7823842² = 122425007281928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 7823798 and 7823807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13417 + ... + 13987.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 2^7823842 is an apocalyptic number.

7823842 is the 2284-th pentagonal number.

7823842 is a deficient number, since it is larger than the sum of its proper divisors (6013982).

7823842 is a wasteful number, since it uses less digits than its factorization.

7823842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634.

The product of its digits is 21504, while the sum is 34.

The square root of 7823842 is about 2797.1131546650. The cubic root of 7823842 is about 198.5211080134.

It can be divided in two parts, 782 and 3842, that added together give a square (4624 = 68²).

The spelling of 7823842 in words is "seven million, eight hundred twenty-three thousand, eight hundred forty-two".