46516 has 12 divisors (see below), whose sum is σ = 84420. Its totient is φ = 22400.

The previous prime is 46511. The next prime is 46523. The reversal of 46516 is 61564.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 8100 = 196^2 + 90^2 .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46511) by changing a digit.

46516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (7035).

2⁴⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

46516 is a deficient number, since it is larger than the sum of its proper divisors (37904).

46516 is a wasteful number, since it uses less digits than its factorization.

46516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 46516 is about 215.6756824494. The cubic root of 46516 is about 35.9639556929.

Subtracting from 46516 its product of digits (720), we obtain a square (45796 = 214²).

The spelling of 46516 in words is "forty-six thousand, five hundred sixteen".