10829997 has 16 divisors (see below), whose sum is σ = 16128960. Its totient is φ = 7182000.

The previous prime is 10829977. The next prime is 10829999. The reversal of 10829997 is 79992801.

It is not a de Polignac number, because 10829997 - 2¹² = 10825901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829999) 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, 4747 + ... + 6647.

It is an arithmetic number, because the mean of its divisors is an integer number (1008060).

Almost surely, 2^10829997 is an apocalyptic number.

It is an amenable number.

10829997 is a deficient number, since it is larger than the sum of its proper divisors (5298963).

10829997 is a wasteful number, since it uses less digits than its factorization.

10829997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 10829997 is about 3290.8960785780. The cubic root of 10829997 is about 221.2463486901.

The spelling of 10829997 in words is "ten million, eight hundred twenty-nine thousand, nine hundred ninety-seven".