63767 has 12 divisors (see below), whose sum is σ = 76608. Its totient is φ = 52800.

The previous prime is 63761. The next prime is 63773. The reversal of 63767 is 76736.

It is an interprime number because it is at equal distance from previous prime (63761) and next prime (63773).

It is not a de Polignac number, because 63767 - 2⁶ = 63703 is a prime.

It is a d-powerful number, because it can be written as 6³ + 3⁴ + 7 + 6⁶ + 7⁵ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63761) 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, 2042 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁶³⁷⁶⁷ is an apocalyptic number.

63767 is a deficient number, since it is larger than the sum of its proper divisors (12841).

63767 is a wasteful number, since it uses less digits than its factorization.

63767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 5292, while the sum is 29.

The square root of 63767 is about 252.5212862315. The cubic root of 63767 is about 39.9513993066.

It can be divided in two parts, 6 and 3767, that added together give a palindrome (3773).

The spelling of 63767 in words is "sixty-three thousand, seven hundred sixty-seven".