61205 has 4 divisors (see below), whose sum is σ = 73452. Its totient is φ = 48960.

The previous prime is 61169. The next prime is 61211. The reversal of 61205 is 50216.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18769 + 42436 = 137^2 + 206^2 .

It is not a de Polignac number, because 61205 - 2⁶ = 61141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6116 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (18363).

2⁶¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

61205 is a deficient number, since it is larger than the sum of its proper divisors (12247).

61205 is a wasteful number, since it uses less digits than its factorization.

61205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 61205 is about 247.3964429817. The cubic root of 61205 is about 39.4090198972.

The spelling of 61205 in words is "sixty-one thousand, two hundred five".