7701 has 8 divisors (see below), whose sum is σ = 10944. Its totient is φ = 4800.

The previous prime is 7699. The next prime is 7703. The reversal of 7701 is 1077.

Added to its reverse (1077) it gives a triangular number (8778 = T₁₃₂).

It is an interprime number because it is at equal distance from previous prime (7699) and next prime (7703).

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

It is not a de Polignac number, because 7701 - 2¹ = 7699 is a prime.

7701 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

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, 25 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2⁷⁷⁰¹ is an apocalyptic number.

7701 is the 51-st octagonal number.

7701 is the 56-th centered pentagonal number.

It is an amenable number.

7701 is a deficient number, since it is larger than the sum of its proper divisors (3243).

7701 is a wasteful number, since it uses less digits than its factorization.

7701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 7701 is about 87.7553417178. The cubic root of 7701 is about 19.7476630253.

Adding to 7701 its product of nonzero digits (49), we get a triangular number (7750 = T₁₂₄).

Adding to 7701 its reverse (1077), we get a palindrome (8778).

The spelling of 7701 in words is "seven thousand, seven hundred one", and thus it is an iban number.