10506829 has 4 divisors (see below), whose sum is σ = 11059840. Its totient is φ = 9953820.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506829 is 92860501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10506829 - 2⁹ = 10506317 is a prime.

It is a super-2 number, since 2×10506829² = 220786911270482, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276477 + ... + 276514.

It is an arithmetic number, because the mean of its divisors is an integer number (2764960).

Almost surely, 2^10506829 is an apocalyptic number.

10506829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10506829 is a deficient number, since it is larger than the sum of its proper divisors (553011).

10506829 is an equidigital number, since it uses as much as digits as its factorization.

10506829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553010.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10506829 is about 3241.4239155038. The cubic root of 10506829 is about 219.0234193035.

The spelling of 10506829 in words is "ten million, five hundred six thousand, eight hundred twenty-nine".