46305 has 32 divisors (see below), whose sum is σ = 96000. Its totient is φ = 21168.

The previous prime is 46301. The next prime is 46307. The reversal of 46305 is 50364.

It is a happy number.

46305 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46305 - 2² = 46301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6612 + ... + 6618.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2⁴⁶³⁰⁵ is an apocalyptic number.

46305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46305 is an abundant number, since it is smaller than the sum of its proper divisors (49695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48000).

46305 is an equidigital number, since it uses as much as digits as its factorization.

46305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 46305 is about 215.1859660852. The cubic root of 46305 is about 35.9094948802.

Adding to 46305 its product of nonzero digits (360), we get a triangular number (46665 = T₃₀₅).

Adding to 46305 its reverse (50364), we get a palindrome (96669).

It can be divided in two parts, 46 and 305, that added together give a triangular number (351 = T₂₆).

The spelling of 46305 in words is "forty-six thousand, three hundred five".