10097829 has 24 divisors (see below), whose sum is σ = 17247360. Its totient is φ = 5570208.

The previous prime is 10097807. The next prime is 10097839. The reversal of 10097829 is 92879001.

It is a happy number.

It is not a de Polignac number, because 10097829 - 2⁸ = 10097573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10097793 and 10097802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (718640).

Almost surely, 2^10097829 is an apocalyptic number.

It is an amenable number.

10097829 is a deficient number, since it is larger than the sum of its proper divisors (7149531).

10097829 is a wasteful number, since it uses less digits than its factorization.

10097829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10097829 is about 3177.7081363775. The cubic root of 10097829 is about 216.1437443399.

The spelling of 10097829 in words is "ten million, ninety-seven thousand, eight hundred twenty-nine".