45982305 has 24 divisors (see below), whose sum is σ = 81859752. Its totient is φ = 23860224.

The previous prime is 45982303. The next prime is 45982319. The reversal of 45982305 is 50328954.

45982305 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 4 ways, for example, as 1306449 + 44675856 = 1143^2 + 6684^2 .

It is not a de Polignac number, because 45982305 - 2¹ = 45982303 is a prime.

It is a super-2 number, since 2×45982305² = 4228744746226050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45982305.

It is not an unprimeable number, because it can be changed into a prime (45982303) 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 23 ways as a sum of consecutive naturals, for example, 12144 + ... + 15473.

It is an arithmetic number, because the mean of its divisors is an integer number (3410823).

Almost surely, 2^45982305 is an apocalyptic number.

45982305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45982305 is a deficient number, since it is larger than the sum of its proper divisors (35877447).

45982305 is a wasteful number, since it uses less digits than its factorization.

45982305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27665 (or 27662 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45982305 is about 6781.0253649430. The cubic root of 45982305 is about 358.2588377077.

It can be divided in two parts, 4598 and 2305, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 45982305 in words is "forty-five million, nine hundred eighty-two thousand, three hundred five".