643137 has 8 divisors (see below), whose sum is σ = 935520. Its totient is φ = 389760.

The previous prime is 643129. The next prime is 643183. The reversal of 643137 is 731346.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 643137 - 2³ = 643129 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643137.

It is not an unprimeable number, because it can be changed into a prime (643187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9712 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (116940).

2⁶⁴³¹³⁷ is an apocalyptic number.

It is an amenable number.

643137 is a deficient number, since it is larger than the sum of its proper divisors (292383).

643137 is a wasteful number, since it uses less digits than its factorization.

643137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503.

The product of its digits is 1512, while the sum is 24.

The square root of 643137 is about 801.9582283386. The cubic root of 643137 is about 86.3179594607.

Subtracting 643137 from its reverse (731346), we obtain a square (88209 = 297²).

It can be divided in two parts, 643 and 137, that added together give a triangular number (780 = T₃₉).

The spelling of 643137 in words is "six hundred forty-three thousand, one hundred thirty-seven".