62538 has 16 divisors (see below), whose sum is σ = 143040. Its totient is φ = 17856.

The previous prime is 62533. The next prime is 62539. The reversal of 62538 is 83526.

62538 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×62538² = 7822002888, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62538.

It is not an unprimeable number, because it can be changed into a prime (62533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (8940).

2⁶²⁵³⁸ is an apocalyptic number.

62538 is an abundant number, since it is smaller than the sum of its proper divisors (80502).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71520).

62538 is a wasteful number, since it uses less digits than its factorization.

62538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501.

The product of its digits is 1440, while the sum is 24.

The square root of 62538 is about 250.0759884515. The cubic root of 62538 is about 39.6930675017.

The spelling of 62538 in words is "sixty-two thousand, five hundred thirty-eight".