406507 has 2 divisors, whose sum is σ = 406508. Its totient is φ = 406506.

The previous prime is 406501. The next prime is 406513. The reversal of 406507 is 705604.

It is a balanced prime because it is at equal distance from previous prime (406501) and next prime (406513).

It is a cyclic number.

It is not a de Polignac number, because 406507 - 2³ = 406499 is a prime.

It is a super-3 number, since 3×406507³ = 201523334316017529, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (406501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203253 + 203254.

It is an arithmetic number, because the mean of its divisors is an integer number (203254).

2⁴⁰⁶⁵⁰⁷ is an apocalyptic number.

406507 is a deficient number, since it is larger than the sum of its proper divisors (1).

406507 is an equidigital number, since it uses as much as digits as its factorization.

406507 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 406507 is about 637.5790147111. The cubic root of 406507 is about 74.0780160896.

Adding to 406507 its reverse (705604), we get a palindrome (1112111).

The spelling of 406507 in words is "four hundred six thousand, five hundred seven".