4693 has 6 divisors (see below), whose sum is σ = 5334. Its totient is φ = 4104.

The previous prime is 4691. The next prime is 4703. The reversal of 4693 is 3964.

It can be written as a sum of positive squares in only one way, i.e., 3249 + 1444 = 57^2 + 38^2 .

It is not a de Polignac number, because 4693 - 2^{1} = 4691 is a prime.

It is the 69-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 5, base 8, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691) by changing a digit.

It is a nontrivial repunit in base 68.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (889).

It is an amenable number.

4693 is a deficient number, since it is larger than the sum of its proper divisors (641).

4693 is a wasteful number, since it uses less digits than its factorization.

4693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 32 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 4693 is about 68.5054742338. The cubic root of 4693 is about 16.7423667603.

Subtracting from 4693 its reverse (3964), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 46 and 93, that multiplied together give a triangular number (4278 = T_{92}).

The spelling of 4693 in words is "four thousand, six hundred ninety-three".

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