61538 has 8 divisors (see below), whose sum is σ = 95580. Its totient is φ = 29680.

The previous prime is 61519. The next prime is 61543. The reversal of 61538 is 83516.

61538 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 61009 + 529 = 247^2 + 23^2 .

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

It is a Curzon number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 588.

2⁶¹⁵³⁸ is an apocalyptic number.

61538 is a deficient number, since it is larger than the sum of its proper divisors (34042).

61538 is a wasteful number, since it uses less digits than its factorization.

61538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its digits is 720, while the sum is 23.

The square root of 61538 is about 248.0685389162. The cubic root of 61538 is about 39.4803619736.

The spelling of 61538 in words is "sixty-one thousand, five hundred thirty-eight".