46905 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 24128.

The previous prime is 46901. The next prime is 46919. The reversal of 46905 is 50964.

It is a cyclic number.

It is not a de Polignac number, because 46905 - 2² = 46901 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46901) 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, 766 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁴⁶⁹⁰⁵ is an apocalyptic number.

46905 is the 177-th pentagonal number.

It is an amenable number.

46905 is a deficient number, since it is larger than the sum of its proper divisors (30855).

46905 is a wasteful number, since it uses less digits than its factorization.

46905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 46905 is about 216.5756218968. The cubic root of 46905 is about 36.0639296150.

The spelling of 46905 in words is "forty-six thousand, nine hundred five".