2251759 has 4 divisors (see below), whose sum is σ = 2269080. Its totient is φ = 2234440.

The previous prime is 2251741. The next prime is 2251771. The reversal of 2251759 is 9571522.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 9571522 = 2 ⋅4785761.

It is a cyclic number.

It is not a de Polignac number, because 2251759 - 2⁵ = 2251727 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2²⁰ + 2²⁰ + 5⁴ + 1 + 7⁵ + 5⁷ + 9⁵ .

It is a Duffinian number.

2251759 is a lucky number.

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 2251759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251729) 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, 8464 + ... + 8725.

It is an arithmetic number, because the mean of its divisors is an integer number (567270).

2^2251759 is an apocalyptic number.

2251759 is a deficient number, since it is larger than the sum of its proper divisors (17321).

2251759 is a wasteful number, since it uses less digits than its factorization.

2251759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17320.

The product of its digits is 6300, while the sum is 31.

The square root of 2251759 is about 1500.5862187825. The cubic root of 2251759 is about 131.0712081055.

The spelling of 2251759 in words is "two million, two hundred fifty-one thousand, seven hundred fifty-nine".