61905 has 8 divisors (see below), whose sum is σ = 99072. Its totient is φ = 33008.

The previous prime is 61879. The next prime is 61909. The reversal of 61905 is 50916.

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

It is a cyclic number.

It is not a de Polignac number, because 61905 - 2¹² = 57809 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (61909) 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, 2049 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (12384).

2⁶¹⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

61905 is a deficient number, since it is larger than the sum of its proper divisors (37167).

61905 is a wasteful number, since it uses less digits than its factorization.

61905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 61905 is about 248.8071542380. The cubic root of 61905 is about 39.5586907253.

The spelling of 61905 in words is "sixty-one thousand, nine hundred five".