61935 has 8 divisors (see below), whose sum is σ = 99120. Its totient is φ = 33024.

The previous prime is 61933. The next prime is 61949. The reversal of 61935 is 53916.

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

It is not a de Polignac number, because 61935 - 2¹ = 61933 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 an Ulam number.

61935 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61933) 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, 2050 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (12390).

2⁶¹⁹³⁵ is an apocalyptic number.

61935 is a deficient number, since it is larger than the sum of its proper divisors (37185).

61935 is a wasteful number, since it uses less digits than its factorization.

61935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137.

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

The square root of 61935 is about 248.8674345912. The cubic root of 61935 is about 39.5650799188.

The spelling of 61935 in words is "sixty-one thousand, nine hundred thirty-five".