405632131 has 2 divisors, whose sum is σ = 405632132. Its totient is φ = 405632130.

The previous prime is 405632113. The next prime is 405632167. The reversal of 405632131 is 131236504.

Together with previous prime (405632113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 405632131 - 2⁵ = 405632099 is a prime.

It is a super-2 number, since 2×405632131² = 329074851399202322, which contains 22 as substring.

It is equal to p_21620527 and since 405632131 and 21620527 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 405632096 and 405632105.

It is not a weakly prime, because it can be changed into another prime (405632111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202816065 + 202816066.

It is an arithmetic number, because the mean of its divisors is an integer number (202816066).

Almost surely, 2^405632131 is an apocalyptic number.

405632131 is a deficient number, since it is larger than the sum of its proper divisors (1).

405632131 is an equidigital number, since it uses as much as digits as its factorization.

405632131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 405632131 is about 20140.3110949161. The cubic root of 405632131 is about 740.2483528470.

Adding to 405632131 its reverse (131236504), we get a palindrome (536868635).

The spelling of 405632131 in words is "four hundred five million, six hundred thirty-two thousand, one hundred thirty-one".