63872137 has 12 divisors (see below), whose sum is σ = 76114836. Its totient is φ = 53410560.

The previous prime is 63872131. The next prime is 63872177. The reversal of 63872137 is 73127836.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 41744521 = 4704^2 + 6461^2 .

It is not a de Polignac number, because 63872137 - 2¹¹ = 63870089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63872096 and 63872105.

It is not an unprimeable number, because it can be changed into a prime (63872131) 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, 13888 + ... + 17905.

It is an arithmetic number, because the mean of its divisors is an integer number (6342903).

Almost surely, 2^63872137 is an apocalyptic number.

It is an amenable number.

63872137 is a deficient number, since it is larger than the sum of its proper divisors (12242699).

63872137 is a wasteful number, since it uses less digits than its factorization.

63872137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31848 (or 31841 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 63872137 is about 7992.0045670658. The cubic root of 63872137 is about 399.7334411554.

It can be divided in two parts, 63872 and 137, that added together give a square (64009 = 253²).

The spelling of 63872137 in words is "sixty-three million, eight hundred seventy-two thousand, one hundred thirty-seven".