10829147 has 12 divisors (see below), whose sum is σ = 12807216. Its totient is φ = 9127440.

The previous prime is 10829131. The next prime is 10829173. The reversal of 10829147 is 74192801.

It is not a de Polignac number, because 10829147 - 2⁴ = 10829131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10829047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (1067268).

Almost surely, 2^10829147 is an apocalyptic number.

10829147 is a deficient number, since it is larger than the sum of its proper divisors (1978069).

10829147 is an equidigital number, since it uses as much as digits as its factorization.

10829147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 10829147 is about 3290.7669318869. The cubic root of 10829147 is about 221.2405603131.

The spelling of 10829147 in words is "ten million, eight hundred twenty-nine thousand, one hundred forty-seven".