239364 has 36 divisors (see below), whose sum is σ = 620620. Its totient is φ = 77760.

The previous prime is 239357. The next prime is 239383. The reversal of 239364 is 463932.

239364 is nontrivially palindromic in base 13 and base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 72900 + 166464 = 270^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 239364.

It is an unprimeable number.

239364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2142 + ... + 2250.

2²³⁹³⁶⁴ 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 239364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310310).

239364 is an abundant number, since it is smaller than the sum of its proper divisors (381256).

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

239364 is a wasteful number, since it uses less digits than its factorization.

239364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 239364 is about 489.2484031655. The cubic root of 239364 is about 62.0897071165.

The spelling of 239364 in words is "two hundred thirty-nine thousand, three hundred sixty-four".