7842132 has 36 divisors (see below), whose sum is σ = 20465536. Its totient is φ = 2529360.

The previous prime is 7842127. The next prime is 7842139. The reversal of 7842132 is 2312487.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7842132² = 122998068610848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7842096 and 7842105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842139) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2398 + ... + 4629.

Almost surely, 2^7842132 is an apocalyptic number.

It is an amenable number.

7842132 is an abundant number, since it is smaller than the sum of its proper divisors (12623404).

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

7842132 is a wasteful number, since it uses less digits than its factorization.

7842132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7063 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 7842132 is about 2800.3806884065. The cubic root of 7842132 is about 198.6756836190.

It can be divided in two parts, 784 and 2132, that added together give a square (2916 = 54²).

The spelling of 7842132 in words is "seven million, eight hundred forty-two thousand, one hundred thirty-two".