10137829 has 8 divisors (see below), whose sum is σ = 10948952. Its totient is φ = 9331200.

The previous prime is 10137821. The next prime is 10137857. The reversal of 10137829 is 92873101.

10137829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 540225 + 9597604 = 735^2 + 3098^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10137829 - 2³ = 10137821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10137829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4729 + ... + 6529.

It is an arithmetic number, because the mean of its divisors is an integer number (1368619).

Almost surely, 2^10137829 is an apocalyptic number.

It is an amenable number.

10137829 is a deficient number, since it is larger than the sum of its proper divisors (811123).

10137829 is a wasteful number, since it uses less digits than its factorization.

10137829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 10137829 is about 3183.9957600474. The cubic root of 10137829 is about 216.4287679440.

The spelling of 10137829 in words is "ten million, one hundred thirty-seven thousand, eight hundred twenty-nine".