10037749 has 2 divisors, whose sum is σ = 10037750. Its totient is φ = 10037748.

The previous prime is 10037663. The next prime is 10037773. The reversal of 10037749 is 94773001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7535025 + 2502724 = 2745^2 + 1582^2 .

It is a cyclic number.

It is not a de Polignac number, because 10037749 - 2¹⁹ = 9513461 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10037749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10037789) 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, 5018874 + 5018875.

It is an arithmetic number, because the mean of its divisors is an integer number (5018875).

Almost surely, 2^10037749 is an apocalyptic number.

It is an amenable number.

10037749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037749 is an equidigital number, since it uses as much as digits as its factorization.

10037749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 10037749 is about 3168.2406789889. The cubic root of 10037749 is about 215.7142211181.

The spelling of 10037749 in words is "ten million, thirty-seven thousand, seven hundred forty-nine".