46716 has 24 divisors (see below), whose sum is σ = 115920. Its totient is φ = 14592.

The previous prime is 46703. The next prime is 46723. The reversal of 46716 is 61764.

46716 = 68² + 69² + ... + 76².

It is a d-powerful number, because it can be written as 4² + 6² + 7 + 1 + 6⁶ .

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

2⁴⁶⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

46716 is an abundant number, since it is smaller than the sum of its proper divisors (69204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46716 is a wasteful number, since it uses less digits than its factorization.

46716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 46716 is about 216.1388442645. The cubic root of 46716 is about 36.0154254882.

The spelling of 46716 in words is "forty-six thousand, seven hundred sixteen".