405006829 has 2 divisors, whose sum is σ = 405006830. Its totient is φ = 405006828.

The previous prime is 405006799. The next prime is 405006911. The reversal of 405006829 is 928600504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295908804 + 109098025 = 17202^2 + 10445^2 .

It is a cyclic number.

It is not a de Polignac number, because 405006829 - 2²³ = 396618221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405006794 and 405006803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405006529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202503414 + 202503415.

It is an arithmetic number, because the mean of its divisors is an integer number (202503415).

Almost surely, 2^405006829 is an apocalyptic number.

It is an amenable number.

405006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

405006829 is an equidigital number, since it uses as much as digits as its factorization.

405006829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 405006829 is about 20124.7814646520. The cubic root of 405006829 is about 739.8677807356.

The spelling of 405006829 in words is "four hundred five million, six thousand, eight hundred twenty-nine".