13920361 has 27 divisors (see below), whose sum is σ = 17972613. Its totient is φ = 10745280.

The previous prime is 13920349. The next prime is 13920367. The reversal of 13920361 is 16302931.

The square root of 13920361 is 3731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9272025 + 4648336 = 3045^2 + 2156^2 .

It is not a de Polignac number, because 13920361 - 2⁷ = 13920233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13920367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339501 + ... + 339541.

Almost surely, 2^13920361 is an apocalyptic number.

13920361 is the 3731-st square number.

13920361 is the 1866-th centered octagonal number.

It is an amenable number.

13920361 is a deficient number, since it is larger than the sum of its proper divisors (4052252).

13920361 is an equidigital number, since it uses as much as digits as its factorization.

13920361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The cubic root of 13920361 is about 240.5563539721.

Multiplying 13920361 by its sum of digits (25), we get a square (348009025 = 18655²).

The spelling of 13920361 in words is "thirteen million, nine hundred twenty thousand, three hundred sixty-one".