11285829 has 24 divisors (see below), whose sum is σ = 17721600. Its totient is φ = 6894720.

The previous prime is 11285809. The next prime is 11285831. The reversal of 11285829 is 92858211.

It is not a de Polignac number, because 11285829 - 2¹² = 11281733 is a prime.

It is a super-3 number, since 3×11285829³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11285793 and 11285802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (738400).

Almost surely, 2^11285829 is an apocalyptic number.

11285829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11285829 is a deficient number, since it is larger than the sum of its proper divisors (6435771).

11285829 is a wasteful number, since it uses less digits than its factorization.

11285829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2182 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11285829 is about 3359.4387924176. The cubic root of 11285829 is about 224.3078582117.

The spelling of 11285829 in words is "eleven million, two hundred eighty-five thousand, eight hundred twenty-nine".