4135921 has 2 divisors, whose sum is σ = 4135922. Its totient is φ = 4135920.

The previous prime is 4135909. The next prime is 4135933. The reversal of 4135921 is 1295314.

It is a balanced prime because it is at equal distance from previous prime (4135909) and next prime (4135933).

It can be written as a sum of positive squares in only one way, i.e., 2608225 + 1527696 = 1615^2 + 1236^2 .

It is a cyclic number.

It is not a de Polignac number, because 4135921 - 2⁵ = 4135889 is a prime.

4135921 is a lucky number.

It is equal to p₂₉₂₀₇₅ and since 4135921 and 292075 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4135991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2067960 + 2067961.

It is an arithmetic number, because the mean of its divisors is an integer number (2067961).

Almost surely, 2^4135921 is an apocalyptic number.

It is an amenable number.

4135921 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135921 is an equidigital number, since it uses as much as digits as its factorization.

4135921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 25.

The square root of 4135921 is about 2033.6963883530. The cubic root of 4135921 is about 160.5181250417.

The spelling of 4135921 in words is "four million, one hundred thirty-five thousand, nine hundred twenty-one".