3763 has 4 divisors (see below), whose sum is σ = 3888. Its totient is φ = 3640.

The previous prime is 3761. The next prime is 3767. The reversal of 3763 is 3673.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 3763 - 2^{1} = 3761 is a prime.

It is a Duffinian number.

3763 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3763.

It is not an unprimeable number, because it can be changed into a prime (3761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

3763 is a deficient number, since it is larger than the sum of its proper divisors (125).

3763 is an equidigital number, since it uses as much as digits as its factorization.

3763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 378, while the sum is 19.

The square root of 3763 is about 61.3432962923. The cubic root of 3763 is about 15.5540947230.

It can be divided in two parts, 376 and 3, that multiplied together give a triangular number (1128 = T_{47}).

The spelling of 3763 in words is "three thousand, seven hundred sixty-three".

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