4761 has 9 divisors (see below), whose sum is σ = 7189. Its totient is φ = 3036.

The previous prime is 4759. The next prime is 4783. The reversal of 4761 is 1674.

4761 = T_{68} + T_{69}.

The square root of 4761 is 69.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4761 - 2^{1} = 4759 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

4761 is a lucky number.

It is a plaindrome in base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196 + ... + 218.

2^{4761} is an apocalyptic number.

4761 is the 69-th square number.

4761 is the 35-th centered octagonal number.

It is an amenable number.

4761 is a deficient number, since it is larger than the sum of its proper divisors (2428).

4761 is a wasteful number, since it uses less digits than its factorization.

4761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The cubic root of 4761 is about 16.8228430757.

The spelling of 4761 in words is "four thousand, seven hundred sixty-one".

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