46813 has 6 divisors (see below), whose sum is σ = 50874. Its totient is φ = 43056.

The previous prime is 46811. The next prime is 46817. The reversal of 46813 is 31864.

It can be written as a sum of positive squares in 3 ways, for example, as 1444 + 45369 = 38^2 + 213^2 .

It is not a de Polignac number, because 46813 - 2¹ = 46811 is a prime.

It is a Duffinian number.

46813 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (8479).

2⁴⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

46813 is a deficient number, since it is larger than the sum of its proper divisors (4061).

46813 is a wasteful number, since it uses less digits than its factorization.

46813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 46813 is about 216.3631207022. The cubic root of 46813 is about 36.0403354485.

It can be divided in two parts, 468 and 13, that multiplied together give a square (6084 = 78²).

The spelling of 46813 in words is "forty-six thousand, eight hundred thirteen".