10829733 has 4 divisors (see below), whose sum is σ = 14439648. Its totient is φ = 7219820.

The previous prime is 10829719. The next prime is 10829743. The reversal of 10829733 is 33792801.

10829733 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 10829733 - 2⁴ = 10829717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10829694 and 10829703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829743) 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, 1804953 + ... + 1804958.

It is an arithmetic number, because the mean of its divisors is an integer number (3609912).

Almost surely, 2^10829733 is an apocalyptic number.

It is an amenable number.

10829733 is a deficient number, since it is larger than the sum of its proper divisors (3609915).

10829733 is an equidigital number, since it uses as much as digits as its factorization.

10829733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609914.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10829733 is about 3290.8559676777. The cubic root of 10829733 is about 221.2445509207.

It can be divided in two parts, 108297 and 33, that multiplied together give a triangular number (3573801 = T₂₆₇₃).

The spelling of 10829733 in words is "ten million, eight hundred twenty-nine thousand, seven hundred thirty-three".