405834101 has 2 divisors, whose sum is σ = 405834102. Its totient is φ = 405834100.

The previous prime is 405834017. The next prime is 405834127. The reversal of 405834101 is 101438504.

It is an a-pointer prime, because the next prime (405834127) can be obtained adding 405834101 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404211025 + 1623076 = 20105^2 + 1274^2 .

It is a cyclic number.

It is not a de Polignac number, because 405834101 - 2¹⁴ = 405817717 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405834151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202917050 + 202917051.

It is an arithmetic number, because the mean of its divisors is an integer number (202917051).

Almost surely, 2^405834101 is an apocalyptic number.

It is an amenable number.

405834101 is a deficient number, since it is larger than the sum of its proper divisors (1).

405834101 is an equidigital number, since it uses as much as digits as its factorization.

405834101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 405834101 is about 20145.3245444197. The cubic root of 405834101 is about 740.3711925180.

The spelling of 405834101 in words is "four hundred five million, eight hundred thirty-four thousand, one hundred one".