7693 has 6 divisors (see below), whose sum is σ = 9006. Its totient is φ = 6552.

The previous prime is 7691. The next prime is 7699. The reversal of 7693 is 3967.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 1764 = 77^2 + 42^2 .

It is not a de Polignac number, because 7693 - 2¹ = 7691 is a prime.

It is an Ulam number.

It is a Duffinian number.

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 (7691) 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, 30 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (1501).

2⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

7693 is a deficient number, since it is larger than the sum of its proper divisors (1313).

7693 is a wasteful number, since it uses less digits than its factorization.

7693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 7693 is about 87.7097486030. The cubic root of 7693 is about 19.7408225266.

It can be divided in two parts, 76 and 93, that added together give a square (169 = 13²).

The spelling of 7693 in words is "seven thousand, six hundred ninety-three".