55935441 has 21 divisors (see below), whose sum is σ = 84168651. Its totient is φ = 37155672.

The previous prime is 55935413. The next prime is 55935463. The reversal of 55935441 is 14453955.

The square root of 55935441 is 7479.

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., 9641025 + 46294416 = 3105^2 + 6804^2 .

It is not a de Polignac number, because 55935441 - 2⁹ = 55934929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55935396 and 55935405.

It is not an unprimeable number, because it can be changed into a prime (55935541) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 201795 + ... + 202071.

It is an arithmetic number, because the mean of its divisors is an integer number (4008031).

Almost surely, 2^55935441 is an apocalyptic number.

55935441 is the 7479-th square number.

55935441 is the 3740-th centered octagonal number.

It is an amenable number.

55935441 is a deficient number, since it is larger than the sum of its proper divisors (28233210).

55935441 is an frugal number, since it uses more digits than its factorization.

55935441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 280 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The cubic root of 55935441 is about 382.4391598735.

Multiplying 55935441 by its sum of digits (36), we get a square (2013675876 = 44874²).

The spelling of 55935441 in words is "fifty-five million, nine hundred thirty-five thousand, four hundred forty-one".