59445 has 12 divisors (see below), whose sum is σ = 103116. Its totient is φ = 31680.

The previous prime is 59443. The next prime is 59447. The reversal of 59445 is 54495.

59445 = T₁₀₄ + T₁₀₅ + ... + T₁₁₃.

59445 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 (59443) and next prime (59447).

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 19044 = 201^2 + 138^2 .

It is not a de Polignac number, because 59445 - 2¹ = 59443 is a prime.

It is a Curzon number.

59445 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59445.

It is not an unprimeable number, because it can be changed into a prime (59441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (8593).

2⁵⁹⁴⁴⁵ is an apocalyptic number.

It is an amenable number.

59445 is a deficient number, since it is larger than the sum of its proper divisors (43671).

59445 is a wasteful number, since it uses less digits than its factorization.

59445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 59445 is about 243.8134532793. The cubic root of 59445 is about 39.0275938840.

Subtracting from 59445 its reverse (54495), we obtain a triangular number (4950 = T₉₉).

The spelling of 59445 in words is "fifty-nine thousand, four hundred forty-five".