10829197 has 6 divisors (see below), whose sum is σ = 11142474. Its totient is φ = 10517040.

The previous prime is 10829191. The next prime is 10829201. The reversal of 10829197 is 79192801.

It can be written as a sum of positive squares in 3 ways, for example, as 2643876 + 8185321 = 1626^2 + 2861^2 .

It is not a de Polignac number, because 10829197 - 2¹⁹ = 10304909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829191) 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 in 5 ways as a sum of consecutive naturals, for example, 19747 + ... + 20287.

It is an arithmetic number, because the mean of its divisors is an integer number (1857079).

Almost surely, 2^10829197 is an apocalyptic number.

It is an amenable number.

10829197 is a deficient number, since it is larger than the sum of its proper divisors (313277).

10829197 is an frugal number, since it uses more digits than its factorization.

10829197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 10829197 is about 3290.7745288913. The cubic root of 10829197 is about 221.2409008143.

Multiplying 10829197 by its sum of digits (37), we get a square (400680289 = 20017²).

10829197 divided by its sum of digits (37) gives a square (292681 = 541²).

It can be divided in two parts, 10829 and 197, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10829197 in words is "ten million, eight hundred twenty-nine thousand, one hundred ninety-seven".