838253 has 8 divisors (see below), whose sum is σ = 956088. Its totient is φ = 728064.

The previous prime is 838249. The next prime is 838349. The reversal of 838253 is 352838.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 813604 = 157^2 + 902^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 838253 - 2² = 838249 is a prime.

It is a d-powerful number, because it can be written as 8² + 3⁴ + 2¹³ + 8⁶ + 5⁸ + 3¹¹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838153) 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, 1676 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (119511).

2⁸³⁸²⁵³ is an apocalyptic number.

It is an amenable number.

838253 is a deficient number, since it is larger than the sum of its proper divisors (117835).

838253 is a wasteful number, since it uses less digits than its factorization.

838253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823.

The product of its digits is 5760, while the sum is 29.

The square root of 838253 is about 915.5615763017. The cubic root of 838253 is about 94.2884230058.

The spelling of 838253 in words is "eight hundred thirty-eight thousand, two hundred fifty-three".