838513 has 8 divisors (see below), whose sum is σ = 920808. Its totient is φ = 758784.

The previous prime is 838483. The next prime is 838517. The reversal of 838513 is 315838.

838513 = 647² + 648².

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 795664 = 207^2 + 892^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-838513 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (115101).

2⁸³⁸⁵¹³ is an apocalyptic number.

838513 is the 648-th centered square number.

It is an amenable number.

838513 is a deficient number, since it is larger than the sum of its proper divisors (82295).

838513 is a wasteful number, since it uses less digits than its factorization.

838513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its digits is 2880, while the sum is 28.

The square root of 838513 is about 915.7035546507. The cubic root of 838513 is about 94.2981704432.

The spelling of 838513 in words is "eight hundred thirty-eight thousand, five hundred thirteen".