7705 has 8 divisors (see below), whose sum is σ = 9792. Its totient is φ = 5808.

The previous prime is 7703. The next prime is 7717. The reversal of 7705 is 5077.

7705 = T₅₃ + T₅₄ + ... + T₅₇.

7705 is nontrivially palindromic in base 9.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7705 - 2¹ = 7703 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7703) 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 7 ways as a sum of consecutive naturals, for example, 82 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

2⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

7705 is a deficient number, since it is larger than the sum of its proper divisors (2087).

7705 is a wasteful number, since it uses less digits than its factorization.

7705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 7705 is about 87.7781293945. The cubic root of 7705 is about 19.7510814982.

Subtracting from 7705 its reverse (5077), we obtain a triangular number (2628 = T₇₂).

The spelling of 7705 in words is "seven thousand, seven hundred five".