406501 has 2 divisors, whose sum is σ = 406502. Its totient is φ = 406500.

The previous prime is 406499. The next prime is 406507. The reversal of 406501 is 105604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390625 + 15876 = 625^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 406501 - 2¹ = 406499 is a prime.

Together with 406499, it forms a pair of twin primes.

406501 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406507) 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 as a sum of consecutive naturals, namely, 203250 + 203251.

It is an arithmetic number, because the mean of its divisors is an integer number (203251).

2⁴⁰⁶⁵⁰¹ is an apocalyptic number.

It is an amenable number.

406501 is a deficient number, since it is larger than the sum of its proper divisors (1).

406501 is an equidigital number, since it uses as much as digits as its factorization.

406501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 406501 is about 637.5743093946. The cubic root of 406501 is about 74.0776516266.

The spelling of 406501 in words is "four hundred six thousand, five hundred one".