217531041 has 48 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 113363712.

The previous prime is 217531037. The next prime is 217531051. The reversal of 217531041 is 140135712.

217531041 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 217531041 - 2² = 217531037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217531051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169440 + ... + 170718.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^217531041 is an apocalyptic number.

217531041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

217531041 is a deficient number, since it is larger than the sum of its proper divisors (150187359).

217531041 is a wasteful number, since it uses less digits than its factorization.

217531041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 217531041 is about 14748.9335546676. The cubic root of 217531041 is about 601.4142942226.

Adding to 217531041 its reverse (140135712), we get a palindrome (357666753).

The spelling of 217531041 in words is "two hundred seventeen million, five hundred thirty-one thousand, forty-one".