63749 has 6 divisors (see below), whose sum is σ = 74214. Its totient is φ = 54600.

The previous prime is 63743. The next prime is 63761. The reversal of 63749 is 94736.

63749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 30625 = 182^2 + 175^2 .

It is not a de Polignac number, because 63749 - 2⁸ = 63493 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 637 and 49 contains 63749 itself.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 602 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2⁶³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

63749 is a deficient number, since it is larger than the sum of its proper divisors (10465).

63749 is a wasteful number, since it uses less digits than its factorization.

63749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 63749 is about 252.4856431562. The cubic root of 63749 is about 39.9476398235.

It can be divided in two parts, 637 and 49, that multiplied together give a palindrome (31213).

The spelling of 63749 in words is "sixty-three thousand, seven hundred forty-nine".