643357 has 12 divisors (see below), whose sum is σ = 763420. Its totient is φ = 538560.

The previous prime is 643303. The next prime is 643369. The reversal of 643357 is 753346.

643357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 290521 = 594^2 + 539^2 .

It is not a de Polignac number, because 643357 - 2¹⁹ = 119069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643457) by changing a digit.

It is a Kaprekar number, because its square (413908229449) can be partitioned into two parts whose sum is 643357.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369 + ... + 1777.

2⁶⁴³³⁵⁷ is an apocalyptic number.

It is an amenable number.

643357 is a deficient number, since it is larger than the sum of its proper divisors (120063).

643357 is a wasteful number, since it uses less digits than its factorization.

643357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 643357 is about 802.0953808619. The cubic root of 643357 is about 86.3278006953.

It can be divided in two parts, 643 and 357, that added together give a cube (1000 = 10³).

The spelling of 643357 in words is "six hundred forty-three thousand, three hundred fifty-seven".