10007537 has 2 divisors, whose sum is σ = 10007538. Its totient is φ = 10007536.

The previous prime is 10007533. The next prime is 10007539. The reversal of 10007537 is 73570001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6130576 + 3876961 = 2476^2 + 1969^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007537 - 2² = 10007533 is a prime.

Together with 10007539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10007533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003768 + 5003769.

It is an arithmetic number, because the mean of its divisors is an integer number (5003769).

Almost surely, 2^10007537 is an apocalyptic number.

It is an amenable number.

10007537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007537 is an equidigital number, since it uses as much as digits as its factorization.

10007537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 10007537 is about 3163.4691400423. The cubic root of 10007537 is about 215.4975819913.

Adding to 10007537 its reverse (73570001), we get a palindrome (83577538).

The spelling of 10007537 in words is "ten million, seven thousand, five hundred thirty-seven".