2252167 has 4 divisors (see below), whose sum is σ = 2255256. Its totient is φ = 2249080.

The previous prime is 2252161. The next prime is 2252179. The reversal of 2252167 is 7612522.

2252167 is digitally balanced in base 2, 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 brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 2252167 - 2¹¹ = 2250119 is a prime.

It is a d-powerful number, because it can be written as 2⁶ + 2⁸ + 5⁹ + 2¹⁴ + 1 + 6⁷ + 7⁴ .

It is a Duffinian number.

2252167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252161) 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 3 ways as a sum of consecutive naturals, for example, 228 + ... + 2134.

It is an arithmetic number, because the mean of its divisors is an integer number (563814).

2^2252167 is an apocalyptic number.

2252167 is a deficient number, since it is larger than the sum of its proper divisors (3089).

2252167 is a wasteful number, since it uses less digits than its factorization.

2252167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088.

The product of its digits is 1680, while the sum is 25.

The square root of 2252167 is about 1500.7221594952. The cubic root of 2252167 is about 131.0791239650.

Adding to 2252167 its reverse (7612522), we get a palindrome (9864689).

The spelling of 2252167 in words is "two million, two hundred fifty-two thousand, one hundred sixty-seven".