63975 has 12 divisors (see below), whose sum is σ = 105896. Its totient is φ = 34080.

The previous prime is 63949. The next prime is 63977. The reversal of 63975 is 57936.

It is not a de Polignac number, because 63975 - 2⁸ = 63719 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63977) 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, 352 + ... + 501.

2⁶³⁹⁷⁵ is an apocalyptic number.

63975 is a deficient number, since it is larger than the sum of its proper divisors (41921).

63975 is a wasteful number, since it uses less digits than its factorization.

63975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 861 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 63975 is about 252.9327973988. The cubic root of 63975 is about 39.9947909884.

It can be divided in two parts, 63 and 975, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 63975 in words is "sixty-three thousand, nine hundred seventy-five".