45329 has 2 divisors, whose sum is σ = 45330. Its totient is φ = 45328.

The previous prime is 45319. The next prime is 45337. The reversal of 45329 is 92354.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 5329 = 200^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 45329 - 2¹² = 41233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (45319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22664 + 22665.

It is an arithmetic number, because the mean of its divisors is an integer number (22665).

2⁴⁵³²⁹ is an apocalyptic number.

It is an amenable number.

45329 is a deficient number, since it is larger than the sum of its proper divisors (1).

45329 is an equidigital number, since it uses as much as digits as its factorization.

45329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 45329 is about 212.9060825810. The cubic root of 45329 is about 35.6554054568.

It can be divided in two parts, 4 and 5329, that multiplied together give a square (21316 = 146²).

The spelling of 45329 in words is "forty-five thousand, three hundred twenty-nine".