39618 has 24 divisors (see below), whose sum is σ = 89856. Its totient is φ = 12600.

The previous prime is 39607. The next prime is 39619. The reversal of 39618 is 81693.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39591 and 39600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39619) by changing a digit.

39618 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 523 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

2³⁹⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928).

39618 is an abundant number, since it is smaller than the sum of its proper divisors (50238).

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

39618 is a wasteful number, since it uses less digits than its factorization.

39618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 39618 is about 199.0427089848. The cubic root of 39618 is about 34.0903020498.

It can be divided in two parts, 3961 and 8, that added together give a square (3969 = 63²).

The spelling of 39618 in words is "thirty-nine thousand, six hundred eighteen".