59049 has 11 divisors (see below), whose sum is σ = 88573. Its totient is φ = 39366.

The previous prime is 59029. The next prime is 59051. The reversal of 59049 is 94095.

59049 = T₂₄₂ + T₂₄₃.

It is a happy number.

The square root of 59049 is 243.

It is a perfect power (a square, a 5-th power, a 10-th power), and thus also a powerful number.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=27.

It is not a de Polignac number, because 59049 - 2⁷ = 58921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (59009) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 19682 + 19683 + 19684.

59049 is a Friedman number, since it can be written as (9+(9+4)*0)^5, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁴⁹ is an apocalyptic number.

59049 is the 243-rd square number.

59049 is the 122-nd centered octagonal number.

It is an amenable number.

59049 is a deficient number, since it is larger than the sum of its proper divisors (29524).

59049 is an frugal number, since it uses more digits than its factorization.

59049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 3 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 59049 is about 38.9407383983.

Multiplying 59049 by its sum of digits (27), we get a 13-th power (1594323 = 3¹³).

59049 divided by its sum of digits (27) gives a 7-th power (2187 = 3⁷).

The spelling of 59049 in words is "fifty-nine thousand, forty-nine".