46564 has 12 divisors (see below), whose sum is σ = 93184. Its totient is φ = 19944.

The previous prime is 46559. The next prime is 46567.

46564 = 32² + 33² + ... + 55².

It is a happy number.

46564 is nontrivially palindromic in base 10.

46564 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 804 + ... + 859.

2⁴⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

46564 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 (46592).

46564 is a wasteful number, since it uses less digits than its factorization.

46564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1672 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 46564 is about 215.7869319491. The cubic root of 46564 is about 35.9763218783.

It can be divided in two parts, 465 and 64, that added together give a square (529 = 23²).

The spelling of 46564 in words is "forty-six thousand, five hundred sixty-four".