2257333 has 18 divisors (see below), whose sum is σ = 2649474. Its totient is φ = 1920672.

The previous prime is 2257319. The next prime is 2257361. The reversal of 2257333 is 3337522.

It is a happy number.

2257333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 2140369 = 342^2 + 1463^2 .

It is not a de Polignac number, because 2257333 - 2⁵ = 2257301 is a prime.

It is a d-powerful number, because it can be written as 2 + 2¹⁷ + 5³ + 7³ + 3³ + 3¹² + 3¹³ .

2257333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2257298 and 2257307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257313) 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 17 ways as a sum of consecutive naturals, for example, 60991 + ... + 61027.

It is an arithmetic number, because the mean of its divisors is an integer number (147193).

2^2257333 is an apocalyptic number.

It is an amenable number.

2257333 is a deficient number, since it is larger than the sum of its proper divisors (392141).

2257333 is a wasteful number, since it uses less digits than its factorization.

2257333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its digits is 3780, while the sum is 25.

The square root of 2257333 is about 1502.4423449837. The cubic root of 2257333 is about 131.1792701298.

The spelling of 2257333 in words is "two million, two hundred fifty-seven thousand, three hundred thirty-three".