10829457 has 10 divisors (see below), whose sum is σ = 16177458. Its totient is φ = 7219584.

The previous prime is 10829407. The next prime is 10829461. The reversal of 10829457 is 75492801.

10829457 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 only one way, i.e., 6765201 + 4064256 = 2601^2 + 2016^2 .

It is not a de Polignac number, because 10829457 - 2⁶ = 10829393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10829407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 66768 + ... + 66929.

Almost surely, 2^10829457 is an apocalyptic number.

It is an amenable number.

10829457 is a deficient number, since it is larger than the sum of its proper divisors (5348001).

10829457 is an equidigital number, since it uses as much as digits as its factorization.

10829457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133709 (or 133700 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10829457 is about 3290.8140330319. The cubic root of 10829457 is about 221.2426714033.

The spelling of 10829457 in words is "ten million, eight hundred twenty-nine thousand, four hundred fifty-seven".