201441249 has 45 divisors (see below), whose sum is σ = 321462273. Its totient is φ = 125693208.

The previous prime is 201441239. The next prime is 201441269. The reversal of 201441249 is 942144102.

It is a happy number.

The square root of 201441249 is 14193.

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

201441249 is a `hidden beast` number, since 201 + 4 + 412 + 49 = 666.

201441249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201441249 - 2⁵ = 201441217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201441239) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2426962 + ... + 2427044.

Almost surely, 2^201441249 is an apocalyptic number.

201441249 is the 14193-rd square number.

201441249 is the 7097-th centered octagonal number.

It is an amenable number.

201441249 is a deficient number, since it is larger than the sum of its proper divisors (120021024).

201441249 is an frugal number, since it uses more digits than its factorization.

201441249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 201441249 is about 586.2049326530.

Multiplying 201441249 by its product of nonzero digits (2304), we get a square (464120637696 = 681264²).

The spelling of 201441249 in words is "two hundred one million, four hundred forty-one thousand, two hundred forty-nine".