63677 has 4 divisors (see below), whose sum is σ = 65436. Its totient is φ = 61920.

The previous prime is 63671. The next prime is 63689. The reversal of 63677 is 77636.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52441 + 11236 = 229^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 63677 - 2⁸ = 63421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63677.

It is not an unprimeable number, because it can be changed into a prime (63671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (16359).

2⁶³⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

63677 is a deficient number, since it is larger than the sum of its proper divisors (1759).

63677 is a wasteful number, since it uses less digits than its factorization.

63677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758.

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

The square root of 63677 is about 252.3430205098. The cubic root of 63677 is about 39.9325948106.

Subtracting from 63677 its product of digits (5292), we obtain a palindrome (58385).

The spelling of 63677 in words is "sixty-three thousand, six hundred seventy-seven".