62364 has 12 divisors (see below), whose sum is σ = 145544. Its totient is φ = 20784.

The previous prime is 62351. The next prime is 62383. The reversal of 62364 is 46326.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 62364.

It is a congruent number.

It is an unprimeable number.

62364 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, 2587 + ... + 2610.

2⁶²³⁶⁴ is an apocalyptic number.

It is an amenable number.

62364 is an abundant number, since it is smaller than the sum of its proper divisors (83180).

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 (72772).

62364 is a wasteful number, since it uses less digits than its factorization.

62364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5202 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 62364 is about 249.7278518708. The cubic root of 62364 is about 39.6562205229.

The spelling of 62364 in words is "sixty-two thousand, three hundred sixty-four".