47961 has 9 divisors (see below), whose sum is σ = 70239. Its totient is φ = 31536.

The previous prime is 47951. The next prime is 47963. The reversal of 47961 is 16974.

47961 = T_{218} + T_{219}.

The square root of 47961 is 219.

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

47961 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 20736 = 165^2 + 144^2 .

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

It is not a de Polignac number, because 47961 - 2^{13} = 39769 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47963) 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, 621 + ... + 693.

2^{47961} is an apocalyptic number.

47961 is the 219-th square number.

47961 is the 110-th centered octagonal number.

It is an amenable number.

47961 is a deficient number, since it is larger than the sum of its proper divisors (22278).

47961 is an equidigital number, since it uses as much as digits as its factorization.

47961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The cubic root of 47961 is about 36.3325664532.

The spelling of 47961 in words is "forty-seven thousand, nine hundred sixty-one".

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