10829241 has 16 divisors (see below), whose sum is σ = 16249600. Its totient is φ = 7126704.

The previous prime is 10829239. The next prime is 10829279. The reversal of 10829241 is 14292801.

It is not a de Polignac number, because 10829241 - 2¹ = 10829239 is a prime.

It is a super-3 number, since 3×10829241³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10829201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406 + ... + 4671.

It is an arithmetic number, because the mean of its divisors is an integer number (1015600).

Almost surely, 2^10829241 is an apocalyptic number.

It is an amenable number.

10829241 is a deficient number, since it is larger than the sum of its proper divisors (5420359).

10829241 is an equidigital number, since it uses as much as digits as its factorization.

10829241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10829241 is about 3290.7812142408. The cubic root of 10829241 is about 221.2412004544.

The spelling of 10829241 in words is "ten million, eight hundred twenty-nine thousand, two hundred forty-one".