642735 has 36 divisors (see below), whose sum is σ = 1207752. Its totient is φ = 327888.

The previous prime is 642701. The next prime is 642737. The reversal of 642735 is 537246.

It is a happy number.

642735 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642735 - 2⁹ = 642223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 6⁶ + 4⁸ + 7⁴ + 2¹⁹ + 3⁶ + 5⁵ .

642735 is strictly pandigital in base 7.

642735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 642699 and 642708.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642735.

It is not an unprimeable number, because it can be changed into a prime (642737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27934 + ... + 27956.

2⁶⁴²⁷³⁵ is an apocalyptic number.

642735 is a deficient number, since it is larger than the sum of its proper divisors (565017).

642735 is an equidigital number, since it uses as much as digits as its factorization.

642735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 31 counting only the distinct ones).

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

The square root of 642735 is about 801.7075526649. The cubic root of 642735 is about 86.2999710425.

The spelling of 642735 in words is "six hundred forty-two thousand, seven hundred thirty-five".