226761 has 8 divisors (see below), whose sum is σ = 305184. Its totient is φ = 149760.

The previous prime is 226753. The next prime is 226769. The reversal of 226761 is 167622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226753) and next prime (226769).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 226761 - 2³ = 226753 is a prime.

It is a super-2 number, since 2×226761² = 102841102242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226769) 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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (38148).

2²²⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

226761 is a deficient number, since it is larger than the sum of its proper divisors (78423).

226761 is a wasteful number, since it uses less digits than its factorization.

226761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its digits is 1008, while the sum is 24.

The square root of 226761 is about 476.1942880800. The cubic root of 226761 is about 60.9802856655.

The spelling of 226761 in words is "two hundred twenty-six thousand, seven hundred sixty-one".