61705 has 16 divisors (see below), whose sum is σ = 88704. Its totient is φ = 40320.

The previous prime is 61703. The next prime is 61717. The reversal of 61705 is 50716.

61705 = 74² + 75² + ... + 83².

It is not a de Polignac number, because 61705 - 2¹ = 61703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1414 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁶¹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

61705 is a deficient number, since it is larger than the sum of its proper divisors (26999).

61705 is a wasteful number, since it uses less digits than its factorization.

61705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 61705 is about 248.4049113846. The cubic root of 61705 is about 39.5160432614.

It can be divided in two parts, 6 and 1705, that added together give a triangular number (1711 = T₅₈).

The spelling of 61705 in words is "sixty-one thousand, seven hundred five".