405827 has 2 divisors, whose sum is σ = 405828. Its totient is φ = 405826.

The previous prime is 405817. The next prime is 405829. The reversal of 405827 is 728504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405827 - 2⁶ = 405763 is a prime.

Together with 405829, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 405796 and 405805.

It is not a weakly prime, because it can be changed into another prime (405829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202913 + 202914.

It is an arithmetic number, because the mean of its divisors is an integer number (202914).

2⁴⁰⁵⁸²⁷ is an apocalyptic number.

405827 is a deficient number, since it is larger than the sum of its proper divisors (1).

405827 is an equidigital number, since it uses as much as digits as its factorization.

405827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 405827 is about 637.0455242759. The cubic root of 405827 is about 74.0366874328.

The spelling of 405827 in words is "four hundred five thousand, eight hundred twenty-seven".