13405957 has 2 divisors, whose sum is σ = 13405958. Its totient is φ = 13405956.

The previous prime is 13405927. The next prime is 13405961. The reversal of 13405957 is 75950431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7650756 + 5755201 = 2766^2 + 2399^2 .

It is a cyclic number.

It is not a de Polignac number, because 13405957 - 2¹⁹ = 12881669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6702978 + 6702979.

It is an arithmetic number, because the mean of its divisors is an integer number (6702979).

Almost surely, 2^13405957 is an apocalyptic number.

It is an amenable number.

13405957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405957 is an equidigital number, since it uses as much as digits as its factorization.

13405957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 13405957 is about 3661.4146173303. The cubic root of 13405957 is about 237.5559653891. Note that the first 3 decimals are identical.

The spelling of 13405957 in words is "thirteen million, four hundred five thousand, nine hundred fifty-seven".