642753 has 12 divisors (see below), whose sum is σ = 983268. Its totient is φ = 403200.

The previous prime is 642739. The next prime is 642769. The reversal of 642753 is 357246.

It is a happy number.

642753 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 242064 + 400689 = 492^2 + 633^2 .

It is not a de Polignac number, because 642753 - 2⁴ = 642737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642253) 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, 1948 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (81939).

2⁶⁴²⁷⁵³ is an apocalyptic number.

It is an amenable number.

642753 is a deficient number, since it is larger than the sum of its proper divisors (340515).

642753 is a wasteful number, since it uses less digits than its factorization.

642753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4221 counting only the distinct ones).

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

The square root of 642753 is about 801.7187786250. The cubic root of 642753 is about 86.3007766544.

Adding to 642753 its reverse (357246), we get a palindrome (999999).

The spelling of 642753 in words is "six hundred forty-two thousand, seven hundred fifty-three".