59245 has 12 divisors (see below), whose sum is σ = 77364. Its totient is φ = 43520.

The previous prime is 59243. The next prime is 59263. The reversal of 59245 is 54295.

It can be written as a sum of positive squares in 6 ways, for example, as 196 + 59049 = 14^2 + 243^2 .

It is not a de Polignac number, because 59245 - 2¹ = 59243 is a prime.

It is a d-powerful number, because it can be written as 5 + 9⁵ + 2 + 4³ + 5³ .

It is a Duffinian number.

59245 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425 + ... + 1465.

It is an arithmetic number, because the mean of its divisors is an integer number (6447).

2⁵⁹²⁴⁵ is an apocalyptic number.

It is an amenable number.

59245 is a deficient number, since it is larger than the sum of its proper divisors (18119).

59245 is a wasteful number, since it uses less digits than its factorization.

59245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 59245 is about 243.4029580757. The cubic root of 59245 is about 38.9837758508.

Subtracting from 59245 its reverse (54295), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 5924 and 5, that added together give a square (5929 = 77²).

The spelling of 59245 in words is "fifty-nine thousand, two hundred forty-five".