63651 has 12 divisors (see below), whose sum is σ = 98952. Its totient is φ = 36288.

The previous prime is 63649. The next prime is 63659. The reversal of 63651 is 15636.

63651 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 63651 - 2¹ = 63649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

63651 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63651.

It is not an unprimeable number, because it can be changed into a prime (63659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2⁶³⁶⁵¹ is an apocalyptic number.

63651 is a deficient number, since it is larger than the sum of its proper divisors (35301).

63651 is a wasteful number, since it uses less digits than its factorization.

63651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 63651 is about 252.2914980732. The cubic root of 63651 is about 39.9271591023.

The spelling of 63651 in words is "sixty-three thousand, six hundred fifty-one".