838153 has 2 divisors, whose sum is σ = 838154. Its totient is φ = 838152.

The previous prime is 838141. The next prime is 838157. The reversal of 838153 is 351838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 13689 = 908^2 + 117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-838153 is a prime.

838153 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419076 + 419077.

It is an arithmetic number, because the mean of its divisors is an integer number (419077).

2⁸³⁸¹⁵³ is an apocalyptic number.

It is an amenable number.

838153 is a deficient number, since it is larger than the sum of its proper divisors (1).

838153 is an equidigital number, since it uses as much as digits as its factorization.

838153 is an evil number, because the sum of its binary digits is even.

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

The square root of 838153 is about 915.5069633815. The cubic root of 838153 is about 94.2846734548.

The spelling of 838153 in words is "eight hundred thirty-eight thousand, one hundred fifty-three".