59345 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 39360.

The previous prime is 59341. The next prime is 59351. The reversal of 59345 is 54395.

It is not a de Polignac number, because 59345 - 2² = 59341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (59341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵⁹³⁴⁵ is an apocalyptic number.

59345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

59345 is a deficient number, since it is larger than the sum of its proper divisors (25327).

59345 is a wasteful number, since it uses less digits than its factorization.

59345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 2700, while the sum is 26.

The square root of 59345 is about 243.6082921413. The cubic root of 59345 is about 39.0056971734.

Subtracting from 59345 its sum of digits (26), we obtain a cube (59319 = 39³).

Subtracting from 59345 its reverse (54395), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 59 and 345, that added together give a palindrome (404).

The spelling of 59345 in words is "fifty-nine thousand, three hundred forty-five".