2135641 has 2 divisors, whose sum is σ = 2135642. Its totient is φ = 2135640.

The previous prime is 2135611. The next prime is 2135663. The reversal of 2135641 is 1465312.

It is an a-pointer prime, because the next prime (2135663) can be obtained adding 2135641 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1651225 + 484416 = 1285^2 + 696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135641 - 2¹⁵ = 2102873 is a prime.

It is equal to p₁₅₈₂₅₁ and since 2135641 and 158251 have the same sum of digits, it is a Honaker prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (2135611) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067820 + 1067821.

It is an arithmetic number, because the mean of its divisors is an integer number (1067821).

2^2135641 is an apocalyptic number.

It is an amenable number.

2135641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135641 is an equidigital number, since it uses as much as digits as its factorization.

2135641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 2135641 is about 1461.3832488434. The cubic root of 2135641 is about 128.7783184638.

The spelling of 2135641 in words is "two million, one hundred thirty-five thousand, six hundred forty-one".