1073807361 has 45 divisors (see below), whose sum is σ = 1768508049. Its totient is φ = 648826200.

The previous prime is 1073807359. The next prime is 1073807369. The reversal of 1073807361 is 1637083701.

The square root of 1073807361 is 32769.

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

1073807361 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 1073807361 - 2¹ = 1073807359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1073807369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3243966 + ... + 3244296.

It is a Proth number, since it is equal to 16385 ⋅ 2¹⁶ + 1 and 16385 < 2¹⁶.

Almost surely, 2^1073807361 is an apocalyptic number.

1073807361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1073807361 is the 32769-th square number.

1073807361 is the 16385-th centered octagonal number.

It is an amenable number.

1073807361 is a deficient number, since it is larger than the sum of its proper divisors (694700688).

1073807361 is an frugal number, since it uses more digits than its factorization.

1073807361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The cubic root of 1073807361 is about 1024.0208332274.

Multiplying 1073807361 by its sum of digits (36), we get a square (38657064996 = 196614²).

The spelling of 1073807361 in words is "one billion, seventy-three million, eight hundred seven thousand, three hundred sixty-one".