838537 has 12 divisors (see below), whose sum is σ = 990660. Its totient is φ = 707616.

The previous prime is 838517. The next prime is 838547. The reversal of 838537 is 735838.

838537 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 414736 + 423801 = 644^2 + 651^2 .

It is a de Polignac number, because none of the positive numbers 2^k-838537 is a prime.

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime factors (280).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5263 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (82555).

2⁸³⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

838537 is a deficient number, since it is larger than the sum of its proper divisors (152123).

838537 is a wasteful number, since it uses less digits than its factorization.

838537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 838537 is about 915.7166592347. The cubic root of 838537 is about 94.2990701051.

The spelling of 838537 in words is "eight hundred thirty-eight thousand, five hundred thirty-seven".