227864 has 32 divisors (see below), whose sum is σ = 527520. Its totient is φ = 89856.

The previous prime is 227849. The next prime is 227869. The reversal of 227864 is 468722.

227864 = T₇ + T₈ + ... + T₁₁₀.

227864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

227864 is an undulating number in base 5.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (16485).

2²²⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263760).

227864 is an abundant number, since it is smaller than the sum of its proper divisors (299656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

227864 is a wasteful number, since it uses less digits than its factorization.

227864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 227864 is about 477.3510238807. The cubic root of 227864 is about 61.0789982491.

The spelling of 227864 in words is "two hundred twenty-seven thousand, eight hundred sixty-four".