63147 has 16 divisors (see below), whose sum is σ = 100352. Its totient is φ = 34560.

The previous prime is 63131. The next prime is 63149. The reversal of 63147 is 74136.

It is not a de Polignac number, because 63147 - 2⁴ = 63131 is a prime.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63147.

It is not an unprimeable number, because it can be changed into a prime (63149) 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 15 ways as a sum of consecutive naturals, for example, 603 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

2⁶³¹⁴⁷ is an apocalyptic number.

63147 is a deficient number, since it is larger than the sum of its proper divisors (37205).

63147 is a wasteful number, since it uses less digits than its factorization.

63147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 504, while the sum is 21.

The square root of 63147 is about 251.2906683504. The cubic root of 63147 is about 39.8214962620.

It can be divided in two parts, 63 and 147, that multiplied together give a cube (9261 = 21³).

The spelling of 63147 in words is "sixty-three thousand, one hundred forty-seven".