228465 has 12 divisors (see below), whose sum is σ = 396084. Its totient is φ = 121824.

The previous prime is 228461. The next prime is 228469. The reversal of 228465 is 564822.

It is an interprime number because it is at equal distance from previous prime (228461) and next prime (228469).

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 62001 = 408^2 + 249^2 .

It is not a de Polignac number, because 228465 - 2² = 228461 is a prime.

It is a super-3 number, since 3×228465³ = 35775053035333875, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228461) 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 11 ways as a sum of consecutive naturals, for example, 2494 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (33007).

2²²⁸⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

228465 is a deficient number, since it is larger than the sum of its proper divisors (167619).

228465 is a wasteful number, since it uses less digits than its factorization.

228465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5085 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 228465 is about 477.9801251098. The cubic root of 228465 is about 61.1326505034.

The spelling of 228465 in words is "two hundred twenty-eight thousand, four hundred sixty-five".