45307 has 2 divisors, whose sum is σ = 45308. Its totient is φ = 45306.

The previous prime is 45293. The next prime is 45317. The reversal of 45307 is 70354.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45307 - 2⁷ = 45179 is a prime.

45307 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is not a weakly prime, because it can be changed into another prime (45317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22653 + 22654.

It is an arithmetic number, because the mean of its divisors is an integer number (22654).

2⁴⁵³⁰⁷ is an apocalyptic number.

45307 is a deficient number, since it is larger than the sum of its proper divisors (1).

45307 is an equidigital number, since it uses as much as digits as its factorization.

45307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 45307 is about 212.8544103372. The cubic root of 45307 is about 35.6496361857.

The spelling of 45307 in words is "forty-five thousand, three hundred seven".