59392 has 24 divisors (see below), whose sum is σ = 122850. Its totient is φ = 28672.

The previous prime is 59387. The next prime is 59393. The reversal of 59392 is 29395.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 9216 = 224^2 + 96^2 .

It is a d-powerful number, because it can be written as 5³ + 9 + 3¹⁰ + 9² + 2⁷ .

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 59392.

It is not an unprimeable number, because it can be changed into a prime (59393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2034 + ... + 2062.

59392 is a Friedman number, since it can be written as 9^5+(9-2)^3, using all its digits and the basic arithmetic operations.

2⁵⁹³⁹² 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 59392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61425).

59392 is an abundant number, since it is smaller than the sum of its proper divisors (63458).

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

59392 is an equidigital number, since it uses as much as digits as its factorization.

59392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its digits is 2430, while the sum is 28.

The square root of 59392 is about 243.7047393876. The cubic root of 59392 is about 39.0159916886.

The spelling of 59392 in words is "fifty-nine thousand, three hundred ninety-two".