45000829 has 2 divisors, whose sum is σ = 45000830. Its totient is φ = 45000828.

The previous prime is 45000827. The next prime is 45000847. The reversal of 45000829 is 92800054.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39816100 + 5184729 = 6310^2 + 2277^2 .

It is a cyclic number.

It is not a de Polignac number, because 45000829 - 2¹ = 45000827 is a prime.

It is a super-3 number, since 3×45000829³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 45000827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 45000797 and 45000806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45000827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22500414 + 22500415.

It is an arithmetic number, because the mean of its divisors is an integer number (22500415).

Almost surely, 2^45000829 is an apocalyptic number.

It is an amenable number.

45000829 is a deficient number, since it is larger than the sum of its proper divisors (1).

45000829 is an equidigital number, since it uses as much as digits as its factorization.

45000829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 45000829 is about 6708.2657222266. The cubic root of 45000829 is about 355.6915146316.

The spelling of 45000829 in words is "forty-five million, eight hundred twenty-nine", and thus it is an aban number.