56763 has 24 divisors (see below), whose sum is σ = 101088. Its totient is φ = 29952.

The previous prime is 56747. The next prime is 56767. The reversal of 56763 is 36765.

Added to its reverse (36765) it gives a triangular number (93528 = T₄₃₂).

56763 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 56763 - 2⁴ = 56747 is a prime.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2⁵⁶⁷⁶³ is an apocalyptic number.

56763 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

56763 is a deficient number, since it is larger than the sum of its proper divisors (44325).

56763 is a wasteful number, since it uses less digits than its factorization.

56763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 56763 is about 238.2498688352. The cubic root of 56763 is about 38.4315983404.

Adding to 56763 its reverse (36765), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 567 and 63, that multiplied together give a square (35721 = 189²).

The spelling of 56763 in words is "fifty-six thousand, seven hundred sixty-three".