18746 has 16 divisors (see below), whose sum is σ = 34944. Its totient is φ = 7344.

The previous prime is 18743. The next prime is 18749. The reversal of 18746 is 64781.

It is an interprime number because it is at equal distance from previous prime (18743) and next prime (18749).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹⁸⁷⁴⁶ is an apocalyptic number.

18746 is a deficient number, since it is larger than the sum of its proper divisors (16198).

18746 is a wasteful number, since it uses less digits than its factorization.

18746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 1344, while the sum is 26.

The square root of 18746 is about 136.9160326624. The cubic root of 18746 is about 26.5645749244.

The spelling of 18746 in words is "eighteen thousand, seven hundred forty-six".