62838 has 12 divisors (see below), whose sum is σ = 136188. Its totient is φ = 20940.

The previous prime is 62827. The next prime is 62851. The reversal of 62838 is 83826.

62838 is a `hidden beast` number, since 628 + 38 = 666.

It is a super-2 number, since 2×62838² = 7897228488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

62838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1728 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (11349).

2⁶²⁸³⁸ is an apocalyptic number.

62838 is an abundant number, since it is smaller than the sum of its proper divisors (73350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

62838 is a wasteful number, since it uses less digits than its factorization.

62838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3496 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 62838 is about 250.6750885110. The cubic root of 62838 is about 39.7564365986.

It can be divided in two parts, 628 and 38, that added together give a palindrome (666).

The spelling of 62838 in words is "sixty-two thousand, eight hundred thirty-eight".