406073 has 2 divisors, whose sum is σ = 406074. Its totient is φ = 406072.

The previous prime is 406067. The next prime is 406093. The reversal of 406073 is 370604.

It is an a-pointer prime, because the next prime (406093) can be obtained adding 406073 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344569 + 61504 = 587^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 406073 - 2⁸ = 405817 is a prime.

It is a super-3 number, since 3×406073³ = 200878564725333051, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (406013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203036 + 203037.

It is an arithmetic number, because the mean of its divisors is an integer number (203037).

2⁴⁰⁶⁰⁷³ is an apocalyptic number.

It is an amenable number.

406073 is a deficient number, since it is larger than the sum of its proper divisors (1).

406073 is an equidigital number, since it uses as much as digits as its factorization.

406073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 406073 is about 637.2385738481. The cubic root of 406073 is about 74.0516440081.

Adding to 406073 its reverse (370604), we get a palindrome (776677).

The spelling of 406073 in words is "four hundred six thousand, seventy-three".