2261817 has 16 divisors (see below), whose sum is σ = 3528000. Its totient is φ = 1428192.

The previous prime is 2261807. The next prime is 2261827. The reversal of 2261817 is 7181622.

It is an interprime number because it is at equal distance from previous prime (2261807) and next prime (2261827).

It is not a de Polignac number, because 2261817 - 2⁴ = 2261801 is a prime.

It is a super-2 number, since 2×2261817² = 10231632282978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2261807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

2^2261817 is an apocalyptic number.

2261817 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2261817 is a deficient number, since it is larger than the sum of its proper divisors (1266183).

2261817 is a wasteful number, since it uses less digits than its factorization.

2261817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4431 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2261817 is about 1503.9338416300. The cubic root of 2261817 is about 131.2660715014.

The spelling of 2261817 in words is "two million, two hundred sixty-one thousand, eight hundred seventeen".