10537073 has 2 divisors, whose sum is σ = 10537074. Its totient is φ = 10537072.

The previous prime is 10537031. The next prime is 10537091. The reversal of 10537073 is 37073501.

10537073 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8596624 + 1940449 = 2932^2 + 1393^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537073 - 2⁸ = 10536817 is a prime.

It is a super-2 number, since 2×10537073² = 222059814814658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10537273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268536 + 5268537.

It is an arithmetic number, because the mean of its divisors is an integer number (5268537).

Almost surely, 2^10537073 is an apocalyptic number.

It is an amenable number.

10537073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537073 is an equidigital number, since it uses as much as digits as its factorization.

10537073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 10537073 is about 3246.0857967712. The cubic root of 10537073 is about 219.2333715975.

The spelling of 10537073 in words is "ten million, five hundred thirty-seven thousand, seventy-three".