10007349 has 16 divisors (see below), whose sum is σ = 15059520. Its totient is φ = 5855360.

The previous prime is 10007341. The next prime is 10007359. The reversal of 10007349 is 94370001.

10007349 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10007349 - 2³ = 10007341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4272 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (941220).

Almost surely, 2^10007349 is an apocalyptic number.

It is an amenable number.

10007349 is a deficient number, since it is larger than the sum of its proper divisors (5052171).

10007349 is a wasteful number, since it uses less digits than its factorization.

10007349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10007349 is about 3163.4394256884. The cubic root of 10007349 is about 215.4962325484.

The spelling of 10007349 in words is "ten million, seven thousand, three hundred forty-nine".