46389 has 12 divisors (see below), whose sum is σ = 72224. Its totient is φ = 25944.

The previous prime is 46381. The next prime is 46399. The reversal of 46389 is 98364.

46389 = T₉₇ + T₉₈ + ... + T₁₀₅.

46389 = 42² + 43² + ... + 59².

It is not a de Polignac number, because 46389 - 2³ = 46381 is a prime.

It is a Duffinian number.

It is a Curzon number.

46389 is a lucky number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1010.

2⁴⁶³⁸⁹ is an apocalyptic number.

It is an amenable number.

46389 is a deficient number, since it is larger than the sum of its proper divisors (25835).

46389 is an equidigital number, since it uses as much as digits as its factorization.

46389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 46389 is about 215.3810576629. The cubic root of 46389 is about 35.9311957436.

It can be divided in two parts, 46 and 389, that added together give a triangular number (435 = T₂₉).

The spelling of 46389 in words is "forty-six thousand, three hundred eighty-nine".