838733 has 6 divisors (see below), whose sum is σ = 975726. Its totient is φ = 718872.

The previous prime is 838711. The next prime is 838751. The reversal of 838733 is 337838.

838733 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 only one way, i.e., 432964 + 405769 = 658^2 + 637^2 .

It is a de Polignac number, because none of the positive numbers 2^k-838733 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 838733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838133) 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, 8510 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (162621).

2⁸³⁸⁷³³ is an apocalyptic number.

It is an amenable number.

838733 is a deficient number, since it is larger than the sum of its proper divisors (136993).

838733 is a wasteful number, since it uses less digits than its factorization.

838733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17131 (or 17124 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 838733 is about 915.8236729851. The cubic root of 838733 is about 94.3064167011.

The spelling of 838733 in words is "eight hundred thirty-eight thousand, seven hundred thirty-three".