10211409 has 12 divisors (see below), whose sum is σ = 15884596. Its totient is φ = 6283872.

The previous prime is 10211401. The next prime is 10211491. The reversal of 10211409 is 90411201.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 4100625 = 2472^2 + 2025^2 .

It is not a de Polignac number, because 10211409 - 2³ = 10211401 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211391 and 10211400.

It is not an unprimeable number, because it can be changed into a prime (10211401) 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 11 ways as a sum of consecutive naturals, for example, 43522 + ... + 43755.

Almost surely, 2^10211409 is an apocalyptic number.

It is an amenable number.

10211409 is a deficient number, since it is larger than the sum of its proper divisors (5673187).

10211409 is a wasteful number, since it uses less digits than its factorization.

10211409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87296 (or 87293 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10211409 is about 3195.5295335828. The cubic root of 10211409 is about 216.9511169949.

It can be divided in two parts, 102 and 11409, that added together give a palindrome (11511).

The spelling of 10211409 in words is "ten million, two hundred eleven thousand, four hundred nine".