18242 has 8 divisors (see below), whose sum is σ = 31296. Its totient is φ = 7812.

The previous prime is 18233. The next prime is 18251. The reversal of 18242 is 24281.

18242 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (18233) and next prime (18251).

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 18242.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (3912).

2^{18242} is an apocalyptic number.

18242 is a deficient number, since it is larger than the sum of its proper divisors (13054).

18242 is a wasteful number, since it uses less digits than its factorization.

18242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312.

The product of its digits is 128, while the sum is 17.

The square root of 18242 is about 135.0629482871. The cubic root of 18242 is about 26.3243395376.

Subtracting from 18242 its sum of digits (17), we obtain a square (18225 = 135^{2}).

It can be divided in two parts, 18 and 242, that multiplied together give a square (4356 = 66^{2}).

The spelling of 18242 in words is "eighteen thousand, two hundred forty-two".

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