2228961 has 24 divisors (see below), whose sum is σ = 3529440. Its totient is φ = 1247232.

The previous prime is 2228959. The next prime is 2228971. The reversal of 2228961 is 1698222.

It is not a de Polignac number, because 2228961 - 2¹ = 2228959 is a prime.

It is an Ulam number.

It is a Curzon number.

2228961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2228971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8545 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (147060).

2^2228961 is an apocalyptic number.

2228961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2228961 is a deficient number, since it is larger than the sum of its proper divisors (1300479).

2228961 is a wasteful number, since it uses less digits than its factorization.

2228961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2228961 is about 1492.9705288451. The cubic root of 2228961 is about 130.6273620445.

Multiplying 2228961 by its sum of digits (30), we get a triangular number (66868830 = T₁₁₅₆₄).

The spelling of 2228961 in words is "two million, two hundred twenty-eight thousand, nine hundred sixty-one".