61755 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 31328.

The previous prime is 61751. The next prime is 61757. The reversal of 61755 is 55716.

It is a cyclic number.

It is not a de Polignac number, because 61755 - 2² = 61751 is a prime.

Its product of digits (1050) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁶¹⁷⁵⁵ is an apocalyptic number.

61755 is a deficient number, since it is larger than the sum of its proper divisors (41925).

61755 is a wasteful number, since it uses less digits than its factorization.

61755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its digits is 1050, while the sum is 24.

The square root of 61755 is about 248.5055331376. The cubic root of 61755 is about 39.5267137566.

The spelling of 61755 in words is "sixty-one thousand, seven hundred fifty-five".