61539 has 8 divisors (see below), whose sum is σ = 83472. Its totient is φ = 40320.

The previous prime is 61519. The next prime is 61543. The reversal of 61539 is 93516.

61539 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 61539 - 2⁵ = 61507 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (61519) 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, 79 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (10434).

2⁶¹⁵³⁹ is an apocalyptic number.

61539 is a deficient number, since it is larger than the sum of its proper divisors (21933).

61539 is a wasteful number, since it uses less digits than its factorization.

61539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its digits is 810, while the sum is 24.

The square root of 61539 is about 248.0705544800. The cubic root of 61539 is about 39.4805758260.

The spelling of 61539 in words is "sixty-one thousand, five hundred thirty-nine".