63364 has 24 divisors (see below), whose sum is σ = 132608. Its totient is φ = 25920.

The previous prime is 63361. The next prime is 63367. The reversal of 63364 is 46336.

63364 = 2² + 3² + ... + 57².

It is an interprime number because it is at equal distance from previous prime (63361) and next prime (63367).

It is a d-powerful number, because it can be written as 6³ + 3³ + 3⁴ + 6⁶ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832 + ... + 904.

2⁶³³⁶⁴ 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 63364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66304).

63364 is an abundant number, since it is smaller than the sum of its proper divisors (69244).

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

63364 is a wasteful number, since it uses less digits than its factorization.

63364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 63364 is about 251.7220689570. The cubic root of 63364 is about 39.8670586545.

The spelling of 63364 in words is "sixty-three thousand, three hundred sixty-four".