46851 has 16 divisors (see below), whose sum is σ = 75264. Its totient is φ = 25344.

The previous prime is 46831. The next prime is 46853. The reversal of 46851 is 15864.

46851 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46851 - 2⁵ = 46819 is a prime.

46851 is a modest number, since divided by 851 gives 46 as remainder.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (46853) 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, 435 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

46851 is a Friedman number, since it can be written as (8-5^6)*(1-4), using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁵¹ is an apocalyptic number.

46851 is a deficient number, since it is larger than the sum of its proper divisors (28413).

46851 is a wasteful number, since it uses less digits than its factorization.

46851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its digits is 960, while the sum is 24.

The square root of 46851 is about 216.4509182240. The cubic root of 46851 is about 36.0500846090.

The spelling of 46851 in words is "forty-six thousand, eight hundred fifty-one".