23763 has 6 divisors (see below), whose sum is σ = 32044. Its totient is φ = 15664.

The previous prime is 23761. The next prime is 23767. The reversal of 23763 is 36732.

It can be divided in two parts, 237 and 63, that added together give a triangular number (300 = T_{24}).

23763 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 23763 - 2^{1} = 23761 is a prime.

It is a d-powerful number, because it can be written as **2**^{11} + **3**^{6} + **7** + **6**^{4} + **3**^{9} .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 223 + ... + 311.

2^{23763} is an apocalyptic number.

23763 is a deficient number, since it is larger than the sum of its proper divisors (8281).

23763 is an frugal number, since it uses more digits than its factorization.

23763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 92 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 23763 is about 154.1525218736. The cubic root of 23763 is about 28.7497290460.

The spelling of 23763 in words is "twenty-three thousand, seven hundred sixty-three".

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