405001 has 2 divisors, whose sum is σ = 405002. Its totient is φ = 405000.

The previous prime is 404983. The next prime is 405011. The reversal of 405001 is 100504.

It is an a-pointer prime, because the next prime (405011) can be obtained adding 405001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 15625 = 624^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 405001 - 2⁵ = 404969 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (405011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202500 + 202501.

It is an arithmetic number, because the mean of its divisors is an integer number (202501).

2⁴⁰⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

405001 is a deficient number, since it is larger than the sum of its proper divisors (1).

405001 is an equidigital number, since it uses as much as digits as its factorization.

405001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 405001 is about 636.3968887416. The cubic root of 405001 is about 73.9864231240.

Adding to 405001 its reverse (100504), we get a palindrome (505505).

It can be divided in two parts, 40 and 5001, that added together give a square (5041 = 71²).

The spelling of 405001 in words is "four hundred five thousand, one".