405677 has 2 divisors, whose sum is σ = 405678. Its totient is φ = 405676.

The previous prime is 405667. The next prime is 405679. The reversal of 405677 is 776504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 3721 = 634^2 + 61^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405677 is a prime.

Together with 405679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405677.

It is not a weakly prime, because it can be changed into another prime (405679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202838 + 202839.

It is an arithmetic number, because the mean of its divisors is an integer number (202839).

2⁴⁰⁵⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

405677 is a deficient number, since it is larger than the sum of its proper divisors (1).

405677 is an equidigital number, since it uses as much as digits as its factorization.

405677 is an odious number, because the sum of its binary digits is odd.

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

The square root of 405677 is about 636.9277824055. The cubic root of 405677 is about 74.0275646032.

The spelling of 405677 in words is "four hundred five thousand, six hundred seventy-seven".