10829493 has 24 divisors (see below), whose sum is σ = 17019288. Its totient is φ = 6607872.

The previous prime is 10829479. The next prime is 10829501. The reversal of 10829493 is 39492801.

It can be written as a sum of positive squares in 4 ways, for example, as 7436529 + 3392964 = 2727^2 + 1842^2 .

It is not a de Polignac number, because 10829493 - 2⁵ = 10829461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829473) 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, 4705 + ... + 6617.

It is an arithmetic number, because the mean of its divisors is an integer number (709137).

Almost surely, 2^10829493 is an apocalyptic number.

It is an amenable number.

10829493 is a deficient number, since it is larger than the sum of its proper divisors (6189795).

10829493 is a wasteful number, since it uses less digits than its factorization.

10829493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10829493 is about 3290.8195027987. The cubic root of 10829493 is about 221.2429165596.

The spelling of 10829493 in words is "ten million, eight hundred twenty-nine thousand, four hundred ninety-three".