64009 has 9 divisors (see below), whose sum is σ = 73549. Its totient is φ = 55660.

The previous prime is 64007. The next prime is 64013. The reversal of 64009 is 90046.

64009 = T₂₅₂ + T₂₅₃.

64009 = 27² + 28² + ... + 59².

64009 = 1³ + 2³ + ... + 22³.

It is a happy number.

The square root of 64009 is 253.

It is a perfect power (a square), and thus also a powerful number.

64009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64009 - 2¹ = 64007 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (64007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2772 + ... + 2794.

2⁶⁴⁰⁰⁹ is an apocalyptic number.

64009 is the 253-rd square number.

64009 is the 127-th centered octagonal number.

It is an amenable number.

64009 is a deficient number, since it is larger than the sum of its proper divisors (9540).

64009 is a wasteful number, since it uses less digits than its factorization.

64009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 64009 is about 40.0018749121.

It can be divided in two parts, 6400 and 9, that multiplied together give a square (57600 = 240²).

The spelling of 64009 in words is "sixty-four thousand, nine".