1333164 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 373056.

The previous prime is 1333153. The next prime is 1333169. The reversal of 1333164 is 4613331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1333164.

It is not an unprimeable number, because it can be changed into a prime (1333169) 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 15 ways as a sum of consecutive naturals, for example, 4822 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^1333164 is an apocalyptic number.

1333164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1333164 is an abundant number, since it is smaller than the sum of its proper divisors (2295636).

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

1333164 is a wasteful number, since it uses less digits than its factorization.

1333164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1333164 is about 1154.6272125669. The cubic root of 1333164 is about 110.0595820463.

Adding to 1333164 its reverse (4613331), we get a palindrome (5946495).

The spelling of 1333164 in words is "one million, three hundred thirty-three thousand, one hundred sixty-four".