63801 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 39744.

The previous prime is 63799. The next prime is 63803. The reversal of 63801 is 10836.

63801 = T₇₈ + T₇₉ + ... + T₉₄.

63801 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (63799) and next prime (63803).

It is not a de Polignac number, because 63801 - 2¹ = 63799 is a prime.

63801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (63803) 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, 390 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁶³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

63801 is a deficient number, since it is larger than the sum of its proper divisors (36999).

63801 is a wasteful number, since it uses less digits than its factorization.

63801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63801 is about 252.5885983175. The cubic root of 63801 is about 39.9584986224.

The spelling of 63801 in words is "sixty-three thousand, eight hundred one".