905408131 has 2 divisors, whose sum is σ = 905408132. Its totient is φ = 905408130.

The previous prime is 905408089. The next prime is 905408143. The reversal of 905408131 is 131804509.

It is a strong prime.

It is an emirp because it is prime and its reverse (131804509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905408131 - 2⁹ = 905407619 is a prime.

It is a super-2 number, since 2×905408131² = 1639527767361826322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 905408093 and 905408102.

It is not a weakly prime, because it can be changed into another prime (905408431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452704065 + 452704066.

It is an arithmetic number, because the mean of its divisors is an integer number (452704066).

Almost surely, 2^905408131 is an apocalyptic number.

905408131 is a deficient number, since it is larger than the sum of its proper divisors (1).

905408131 is an equidigital number, since it uses as much as digits as its factorization.

905408131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 905408131 is about 30090.0005151213. Note that the first 3 decimals coincide. The cubic root of 905408131 is about 967.4194102116.

Subtracting from 905408131 its sum of digits (31), we obtain a square (905408100 = 30090²).

The spelling of 905408131 in words is "nine hundred five million, four hundred eight thousand, one hundred thirty-one".