11005957 has 2 divisors, whose sum is σ = 11005958. Its totient is φ = 11005956.

The previous prime is 11005949. The next prime is 11006011. The reversal of 11005957 is 75950011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9247681 + 1758276 = 3041^2 + 1326^2 .

It is a cyclic number.

It is not a de Polignac number, because 11005957 - 2³ = 11005949 is a prime.

It is a super-2 number, since 2×11005957² = 242262178971698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11005157) 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, 5502978 + 5502979.

It is an arithmetic number, because the mean of its divisors is an integer number (5502979).

Almost surely, 2^11005957 is an apocalyptic number.

It is an amenable number.

11005957 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005957 is an equidigital number, since it uses as much as digits as its factorization.

11005957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 28.

The square root of 11005957 is about 3317.5227203442. The cubic root of 11005957 is about 222.4381480224.

Adding to 11005957 its reverse (75950011), we get a palindrome (86955968).

The spelling of 11005957 in words is "eleven million, five thousand, nine hundred fifty-seven".