64801 has 8 divisors (see below), whose sum is σ = 72864. Its totient is φ = 57120.

The previous prime is 64793. The next prime is 64811. The reversal of 64801 is 10846.

64801 = T₁₀₃ + T₁₀₄ + ... + T₁₁₃.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 64801 - 2³ = 64793 is a prime.

64801 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 (64811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (9108).

2⁶⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

64801 is a deficient number, since it is larger than the sum of its proper divisors (8063).

64801 is a wasteful number, since it uses less digits than its factorization.

64801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 64801 is about 254.5604054051. The cubic root of 64801 is about 40.1661836190.

The spelling of 64801 in words is "sixty-four thousand, eight hundred one".