45763 has 2 divisors, whose sum is σ = 45764. Its totient is φ = 45762.

The previous prime is 45757. The next prime is 45767. The reversal of 45763 is 36754.

45763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45763 - 2¹³ = 37571 is a prime.

45763 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (45767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22881 + 22882.

It is an arithmetic number, because the mean of its divisors is an integer number (22882).

2⁴⁵⁷⁶³ is an apocalyptic number.

45763 is a deficient number, since it is larger than the sum of its proper divisors (1).

45763 is an equidigital number, since it uses as much as digits as its factorization.

45763 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 25.

The square root of 45763 is about 213.9228833014. The cubic root of 45763 is about 35.7688377745.

Subtracting from 45763 its reverse (36754), we obtain a palindrome (9009).

It can be divided in two parts, 45 and 763, that added together give a palindrome (808).

The spelling of 45763 in words is "forty-five thousand, seven hundred sixty-three".