59364 has 36 divisors (see below), whose sum is σ = 160524. Its totient is φ = 18432.

The previous prime is 59359. The next prime is 59369. The reversal of 59364 is 46395.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59359) and next prime (59369).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 22500 = 192^2 + 150^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2⁵⁹³⁶⁴ 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 59364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262).

59364 is an abundant number, since it is smaller than the sum of its proper divisors (101160).

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

59364 is a wasteful number, since it uses less digits than its factorization.

59364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 59364 is about 243.6472860510. The cubic root of 59364 is about 39.0098594402.

The spelling of 59364 in words is "fifty-nine thousand, three hundred sixty-four".