838553 has 2 divisors, whose sum is σ = 838554. Its totient is φ = 838552.

The previous prime is 838547. The next prime is 838561. The reversal of 838553 is 355838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 413449 = 652^2 + 643^2 .

It is a cyclic number.

It is not a de Polignac number, because 838553 - 2¹⁴ = 822169 is a prime.

It is a super-2 number, since 2×838553² = 1406342267618, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (838583) 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 as a sum of consecutive naturals, namely, 419276 + 419277.

It is an arithmetic number, because the mean of its divisors is an integer number (419277).

2⁸³⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

838553 is a deficient number, since it is larger than the sum of its proper divisors (1).

838553 is an equidigital number, since it uses as much as digits as its factorization.

838553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 838553 is about 915.7253955199. The cubic root of 838553 is about 94.2996698701.

The spelling of 838553 in words is "eight hundred thirty-eight thousand, five hundred fifty-three".