46875 has 14 divisors (see below), whose sum is σ = 78124. Its totient is φ = 25000.

The previous prime is 46867. The next prime is 46877. The reversal of 46875 is 57864.

It is a happy number.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=25.

It is not a de Polignac number, because 46875 - 2^{3} = 46867 is a prime.

It is a Duffinian number.

Its product of digits (6720) is a multiple of the sum of its prime divisors (8).

46875 is a lucky number.

It is a nialpdrome in base 5 and base 15.

It is not an unprimeable number, because it can be changed into a prime (46877) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9373 + ... + 9377.

46875 is a Friedman number, since it can be written as 5^6*(7-8+4), using all its digits and the basic arithmetic operations.

2^{46875} is an apocalyptic number.

46875 is a deficient number, since it is larger than the sum of its proper divisors (31249).

46875 is an frugal number, since it uses more digits than its factorization.

46875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 8 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 46875 is about 216.5063509461. The cubic root of 46875 is about 36.0562392577.

The spelling of 46875 in words is "forty-six thousand, eight hundred seventy-five".

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