838372 has 12 divisors (see below), whose sum is σ = 1553580. Its totient is φ = 394496.

The previous prime is 838367. The next prime is 838379. The reversal of 838372 is 273838.

838372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 602176 = 486^2 + 776^2 .

It is a super-2 number, since 2×838372² = 1405735220768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838379) by changing a digit.

838372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6097 + ... + 6232.

It is an arithmetic number, because the mean of its divisors is an integer number (129465).

2⁸³⁸³⁷² is an apocalyptic number.

It is an amenable number.

838372 is a deficient number, since it is larger than the sum of its proper divisors (715208).

838372 is a wasteful number, since it uses less digits than its factorization.

838372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12348 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 838372 is about 915.6265614321. The cubic root of 838372 is about 94.2928845830.

The spelling of 838372 in words is "eight hundred thirty-eight thousand, three hundred seventy-two".