45306361 has 9 divisors (see below), whose sum is σ = 46543791. Its totient is φ = 44101512.

The previous prime is 45306341. The next prime is 45306367. The reversal of 45306361 is 16360354.

The square root of 45306361 is 6731.

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

It can be written as a sum of positive squares in only one way, i.e., 32661225 + 12645136 = 5715^2 + 3556^2 .

It is not a de Polignac number, because 45306361 - 2¹⁵ = 45273593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45306367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356680 + ... + 356806.

Almost surely, 2^45306361 is an apocalyptic number.

45306361 is the 6731-st square number.

45306361 is the 3366-th centered octagonal number.

It is an amenable number.

45306361 is a deficient number, since it is larger than the sum of its proper divisors (1237430).

45306361 is an frugal number, since it uses more digits than its factorization.

45306361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The cubic root of 45306361 is about 356.4946858674.

The spelling of 45306361 in words is "forty-five million, three hundred six thousand, three hundred sixty-one".