406577 has 2 divisors, whose sum is σ = 406578. Its totient is φ = 406576.

The previous prime is 406573. The next prime is 406579. The reversal of 406577 is 775604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279841 + 126736 = 529^2 + 356^2 .

It is a cyclic number.

It is not a de Polignac number, because 406577 - 2² = 406573 is a prime.

Together with 406579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (406573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203288 + 203289.

It is an arithmetic number, because the mean of its divisors is an integer number (203289).

2⁴⁰⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

406577 is a deficient number, since it is larger than the sum of its proper divisors (1).

406577 is an equidigital number, since it uses as much as digits as its factorization.

406577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 406577 is about 637.6339075049. The cubic root of 406577 is about 74.0822678930.

The spelling of 406577 in words is "four hundred six thousand, five hundred seventy-seven".