13905441 has 27 divisors (see below), whose sum is σ = 22274707. Its totient is φ = 8352960.

The previous prime is 13905433. The next prime is 13905461. The reversal of 13905441 is 14450931.

The square root of 13905441 is 3729.

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., 245025 + 13660416 = 495^2 + 3696^2 .

It is not a de Polignac number, because 13905441 - 2³ = 13905433 is a prime.

It is a super-2 number, since 2×13905441² = 386722578808962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13905401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123001 + ... + 123113.

Almost surely, 2^13905441 is an apocalyptic number.

13905441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13905441 is the 3729-th square number.

13905441 is the 1865-th centered octagonal number.

It is an amenable number.

13905441 is a deficient number, since it is larger than the sum of its proper divisors (8369266).

13905441 is a wasteful number, since it uses less digits than its factorization.

13905441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 13905441 is about 240.4703795771.

Subtracting 13905441 from its reverse (14450931), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 13905441 in words is "thirteen million, nine hundred five thousand, four hundred forty-one".