59865 has 16 divisors (see below), whose sum is σ = 103488. Its totient is φ = 29376.

The previous prime is 59863. The next prime is 59879. The reversal of 59865 is 56895.

It is not a de Polignac number, because 59865 - 2¹ = 59863 is a prime.

59865 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59863) 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, 42 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2⁵⁹⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

59865 is a deficient number, since it is larger than the sum of its proper divisors (43623).

59865 is a wasteful number, since it uses less digits than its factorization.

59865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its digits is 10800, while the sum is 33.

The square root of 59865 is about 244.6732515009. The cubic root of 59865 is about 39.1192928557.

It can be divided in two parts, 5 and 9865, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 59865 in words is "fifty-nine thousand, eight hundred sixty-five".