10821330 has 64 divisors (see below), whose sum is σ = 31086720. Its totient is φ = 2662848.

The previous prime is 10821329. The next prime is 10821331. The reversal of 10821330 is 3312801.

10821330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10821329) and next prime (10821331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10821331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969 + ... + 5051.

It is an arithmetic number, because the mean of its divisors is an integer number (485730).

Almost surely, 2^10821330 is an apocalyptic number.

10821330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10821330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543360).

10821330 is an abundant number, since it is smaller than the sum of its proper divisors (20265390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10821330 is a wasteful number, since it uses less digits than its factorization.

10821330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10821330 is about 3289.5790004194. The cubic root of 10821330 is about 221.1873134674.

The spelling of 10821330 in words is "ten million, eight hundred twenty-one thousand, three hundred thirty".