10829697 has 12 divisors (see below), whose sum is σ = 15340176. Its totient is φ = 6794560.

The previous prime is 10829683. The next prime is 10829717. The reversal of 10829697 is 79692801.

10829697 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10829697 - 2¹² = 10825601 is a prime.

It is a super-2 number, since 2×10829697² = 234564674223618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10825697) 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, 5379 + ... + 7112.

It is an arithmetic number, because the mean of its divisors is an integer number (1278348).

Almost surely, 2^10829697 is an apocalyptic number.

10829697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10829697 is a deficient number, since it is larger than the sum of its proper divisors (4510479).

10829697 is a wasteful number, since it uses less digits than its factorization.

10829697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12528 (or 12511 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 10829697 is about 3290.8504979716. The cubic root of 10829697 is about 221.2443057681.

The spelling of 10829697 in words is "ten million, eight hundred twenty-nine thousand, six hundred ninety-seven".