642733 has 12 divisors (see below), whose sum is σ = 805980. Its totient is φ = 508032.

The previous prime is 642701. The next prime is 642737. The reversal of 642733 is 337246.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 499849 = 378^2 + 707^2 .

It is not a de Polignac number, because 642733 - 2⁵ = 642701 is a prime.

It is a d-powerful number, because it can be written as 6⁴ + 4⁹ + 7⁵ + 2¹³ + 3¹¹ + 3¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 642698 and 642707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642737) 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, 133 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (67165).

2⁶⁴²⁷³³ is an apocalyptic number.

It is an amenable number.

642733 is a deficient number, since it is larger than the sum of its proper divisors (163247).

642733 is a wasteful number, since it uses less digits than its factorization.

642733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1029 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 642733 is about 801.7063053263. The cubic root of 642733 is about 86.2998815291.

Adding to 642733 its reverse (337246), we get a palindrome (979979).

The spelling of 642733 in words is "six hundred forty-two thousand, seven hundred thirty-three".