46734 has 8 divisors (see below), whose sum is σ = 93480. Its totient is φ = 15576.

The previous prime is 46727. The next prime is 46747. The reversal of 46734 is 43764.

46734 = 17² + 18² + ... + 52².

It is a sphenic number, since it is the product of 3 distinct primes.

46734 is an admirable number.

It is a d-powerful number, because it can be written as 4 + 6⁶ + 7 + 3 + 4³ .

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 3 ways as a sum of consecutive naturals, for example, 3889 + ... + 3900.

It is an arithmetic number, because the mean of its divisors is an integer number (11685).

2⁴⁶⁷³⁴ is an apocalyptic number.

46734 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (46740).

46734 is a wasteful number, since it uses less digits than its factorization.

46734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794.

The product of its digits is 2016, while the sum is 24.

The square root of 46734 is about 216.1804801549. The cubic root of 46734 is about 36.0200505590.

It can be divided in two parts, 46 and 734, that added together give a triangular number (780 = T₃₉).

The spelling of 46734 in words is "forty-six thousand, seven hundred thirty-four".