45767 has 2 divisors, whose sum is σ = 45768. Its totient is φ = 45766.

The previous prime is 45763. The next prime is 45779. The reversal of 45767 is 76754.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45767 - 2² = 45763 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22883 + 22884.

It is an arithmetic number, because the mean of its divisors is an integer number (22884).

2⁴⁵⁷⁶⁷ is an apocalyptic number.

45767 is a deficient number, since it is larger than the sum of its proper divisors (1).

45767 is an equidigital number, since it uses as much as digits as its factorization.

45767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 29.

The square root of 45767 is about 213.9322322606. The cubic root of 45767 is about 35.7698798913.

Adding to 45767 its sum of digits (29), we get a square (45796 = 214²).

The spelling of 45767 in words is "forty-five thousand, seven hundred sixty-seven".