59145 has 8 divisors (see below), whose sum is σ = 94656. Its totient is φ = 31536.

The previous prime is 59141. The next prime is 59149. The reversal of 59145 is 54195.

59145 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59141) and next prime (59149).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 59145 - 2² = 59141 is a prime.

It is an Ulam number.

59145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (59141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (11832).

2⁵⁹¹⁴⁵ is an apocalyptic number.

It is an amenable number.

59145 is a deficient number, since it is larger than the sum of its proper divisors (35511).

59145 is a wasteful number, since it uses less digits than its factorization.

59145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951.

The product of its digits is 900, while the sum is 24.

The square root of 59145 is about 243.1974506445. The cubic root of 59145 is about 38.9618298469.

Subtracting from 59145 its reverse (54195), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 591 and 45, that added together give a palindrome (636).

The spelling of 59145 in words is "fifty-nine thousand, one hundred forty-five".