838157 has 2 divisors, whose sum is σ = 838158. Its totient is φ = 838156.

The previous prime is 838153. The next prime is 838169. The reversal of 838157 is 751838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 662596 + 175561 = 814^2 + 419^2 .

It is a cyclic number.

It is not a de Polignac number, because 838157 - 2² = 838153 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419078 + 419079.

It is an arithmetic number, because the mean of its divisors is an integer number (419079).

2⁸³⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

838157 is a deficient number, since it is larger than the sum of its proper divisors (1).

838157 is an equidigital number, since it uses as much as digits as its factorization.

838157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 32.

The square root of 838157 is about 915.5091479608. The cubic root of 838157 is about 94.2848234425.

The spelling of 838157 in words is "eight hundred thirty-eight thousand, one hundred fifty-seven".