46984 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 20112.

The previous prime is 46957. The next prime is 46993. The reversal of 46984 is 48964.

46984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

46984 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

46984 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, 364 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁴⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

46984 is an abundant number, since it is smaller than the sum of its proper divisors (53816).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

46984 is a wasteful number, since it uses less digits than its factorization.

46984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 46984 is about 216.7579294974. The cubic root of 46984 is about 36.0841652148.

The spelling of 46984 in words is "forty-six thousand, nine hundred eighty-four".