7938 has 30 divisors (see below), whose sum is σ = 20691. Its totient is φ = 2268.

The previous prime is 7937. The next prime is 7949. The reversal of 7938 is 8397.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3969 + 3969 = 63^2 + 63^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=63.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1512) is a multiple of the sum of its prime divisors (12).

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (7933) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1131 + ... + 1137.

2^{7938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938

7938 is an abundant number, since it is smaller than the sum of its proper divisors (12753).

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

7938 is a wasteful number, since it uses less digits than its factorization.

7938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 12 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 7938 is about 89.0954544295. The cubic root of 7938 is about 19.9481992835.

The spelling of 7938 in words is "seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938

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