4681 has 4 divisors (see below), whose sum is σ = 4864. Its totient is φ = 4500.

The previous prime is 4679. The next prime is 4691. The reversal of 4681 is 1864.

4681 is nontrivially palindromic in base 2 and base 8.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 3-Lehmer number, since φ(4681) divides (4681-1)³.

It is a cyclic number.

It is not a de Polignac number, because 4681 - 2¹ = 4679 is a prime.

It is a super-2 number, since 2×4681² = 43823522, which contains 22 as substring.

It is a Duffinian number.

4681 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621) by changing a digit.

It is a nontrivial repunit in base 8.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (1216).

It is a Poulet number, since it divides 2⁴⁶⁸⁰-1.

2⁴⁶⁸¹ is an apocalyptic number.

4681 is the 40-th hex number.

It is an amenable number.

4681 is a deficient number, since it is larger than the sum of its proper divisors (183).

4681 is a wasteful number, since it uses less digits than its factorization.

4681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its digits is 192, while the sum is 19.

The square root of 4681 is about 68.4178339324. The cubic root of 4681 is about 16.7280845041.

Subtracting from 4681 its product of digits (192), we obtain a square (4489 = 67²).

The spelling of 4681 in words is "four thousand, six hundred eighty-one".