643752 has 24 divisors (see below), whose sum is σ = 1743690. Its totient is φ = 214560.

The previous prime is 643751. The next prime is 643781. The reversal of 643752 is 257346.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 509796 + 133956 = 714^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (643751) 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, 4399 + ... + 4542.

2⁶⁴³⁷⁵² is an apocalyptic number.

It is an amenable number.

643752 is an abundant number, since it is smaller than the sum of its proper divisors (1099938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

643752 is a wasteful number, since it uses less digits than its factorization.

643752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8946 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 643752 is about 802.3415731470. The cubic root of 643752 is about 86.3454645558.

The spelling of 643752 in words is "six hundred forty-three thousand, seven hundred fifty-two".