10505437 has 2 divisors, whose sum is σ = 10505438. Its totient is φ = 10505436.

The previous prime is 10505413. The next prime is 10505441. The reversal of 10505437 is 73450501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9308601 + 1196836 = 3051^2 + 1094^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505437 - 2¹⁵ = 10472669 is a prime.

It is a super-2 number, since 2×10505437² = 220728413121938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505477) 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, 5252718 + 5252719.

It is an arithmetic number, because the mean of its divisors is an integer number (5252719).

Almost surely, 2^10505437 is an apocalyptic number.

It is an amenable number.

10505437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505437 is an equidigital number, since it uses as much as digits as its factorization.

10505437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 10505437 is about 3241.2091879421. The cubic root of 10505437 is about 219.0137464179.

Adding to 10505437 its reverse (73450501), we get a palindrome (83955938).

The spelling of 10505437 in words is "ten million, five hundred five thousand, four hundred thirty-seven".