62504 has 16 divisors (see below), whose sum is σ = 126420. Its totient is φ = 28800.

The previous prime is 62501. The next prime is 62507. The reversal of 62504 is 40526.

62504 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (62501) and next prime (62507).

It can be written as a sum of positive squares in 2 ways, for example, as 62500 + 4 = 250^2 + 2^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

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 (62501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 404.

62504 is a Friedman number, since it can be written as 4*(5^6+2^0), using all its digits and the basic arithmetic operations.

2⁶²⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

62504 is an abundant number, since it is smaller than the sum of its proper divisors (63916).

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 (63210).

62504 is a wasteful number, since it uses less digits than its factorization.

62504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 62504 is about 250.0079998720. The cubic root of 62504 is about 39.6858728950.

The spelling of 62504 in words is "sixty-two thousand, five hundred four".