59745 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 27264.

The previous prime is 59743. The next prime is 59747. The reversal of 59745 is 54795.

59745 is digitally balanced in base 2, because in such base 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 (59743) and next prime (59747).

It is not a de Polignac number, because 59745 - 2¹ = 59743 is a prime.

59745 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59743) 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, 180 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁵⁹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

59745 is a deficient number, since it is larger than the sum of its proper divisors (49695).

59745 is a wasteful number, since it uses less digits than its factorization.

59745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584.

The product of its digits is 6300, while the sum is 30.

The square root of 59745 is about 244.4279034808. The cubic root of 59745 is about 39.0931370315.

Subtracting from 59745 its reverse (54795), we obtain a triangular number (4950 = T₉₉).

The spelling of 59745 in words is "fifty-nine thousand, seven hundred forty-five".