45667 has 2 divisors, whose sum is σ = 45668. Its totient is φ = 45666.

The previous prime is 45659. The next prime is 45673. The reversal of 45667 is 76654.

45667 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 45667 - 2³ = 45659 is a prime.

It is a plaindrome in base 10 and base 14.

It is not a weakly prime, because it can be changed into another prime (45677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22833 + 22834.

It is an arithmetic number, because the mean of its divisors is an integer number (22834).

2⁴⁵⁶⁶⁷ is an apocalyptic number.

45667 is a deficient number, since it is larger than the sum of its proper divisors (1).

45667 is an equidigital number, since it uses as much as digits as its factorization.

45667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 28.

The square root of 45667 is about 213.6983855812. The cubic root of 45667 is about 35.7438087311.

It can be divided in two parts, 4 and 5667, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 45667 in words is "forty-five thousand, six hundred sixty-seven".