45792289 has 9 divisors (see below), whose sum is σ = 46950771. Its totient is φ = 44662200.

The previous prime is 45792283. The next prime is 45792293. The reversal of 45792289 is 98229754.

The square root of 45792289 is 6767.

It is a perfect power (a square), and thus also a powerful number.

45792289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43996689 + 1795600 = 6633^2 + 1340^2 .

It is not a de Polignac number, because 45792289 - 2⁹ = 45791777 is a prime.

It is a Duffinian number.

Its product of digits (362880) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (45792283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 453339 + ... + 453439.

Almost surely, 2^45792289 is an apocalyptic number.

45792289 is the 6767-th square number.

45792289 is the 3384-th centered octagonal number.

It is an amenable number.

45792289 is a deficient number, since it is larger than the sum of its proper divisors (1158482).

45792289 is an frugal number, since it uses more digits than its factorization.

45792289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The cubic root of 45792289 is about 357.7646700965.

It can be divided in two parts, 4579 and 2289, that multiplied together give a triangular number (10481331 = T₄₅₇₈).

The spelling of 45792289 in words is "forty-five million, seven hundred ninety-two thousand, two hundred eighty-nine".