62004 has 12 divisors (see below), whose sum is σ = 144704. Its totient is φ = 20664.

The previous prime is 62003. The next prime is 62011. The reversal of 62004 is 40026.

62004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 5167 = 62004 / (6 + 2 + 0 + 0 + 4).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62003) 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, 2572 + ... + 2595.

2⁶²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

62004 is an abundant number, since it is smaller than the sum of its proper divisors (82700).

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 (72352).

62004 is a wasteful number, since it uses less digits than its factorization.

62004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 62004 is about 249.0060240235. The cubic root of 62004 is about 39.5797672380.

The spelling of 62004 in words is "sixty-two thousand, four", and thus it is an eban number.