7942 has 12 divisors (see below), whose sum is σ = 13716. Its totient is φ = 3420.

The previous prime is 7937. The next prime is 7949. The reversal of 7942 is 2497.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (1143).

2⁷⁹⁴² is an apocalyptic number.

7942 is a deficient number, since it is larger than the sum of its proper divisors (5774).

7942 is a wasteful number, since it uses less digits than its factorization.

7942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 32 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 7942 is about 89.1178994366. The cubic root of 7942 is about 19.9515493884.

Multiplying 7942 by its sum of digits (22), we get a square (174724 = 418²).

7942 divided by its sum of digits (22) gives a square (361 = 19²).

Subtracting from 7942 its reverse (2497), we obtain a palindrome (5445).

It can be divided in two parts, 79 and 42, that added together give a palindrome (121).

The spelling of 7942 in words is "seven thousand, nine hundred forty-two".