62500 has 21 divisors (see below), whose sum is σ = 136717. Its totient is φ = 25000.

The previous prime is 62497. The next prime is 62501. The reversal of 62500 is 526.

62500 = T₂₄₉ + T₂₅₀.

The square root of 62500 is 250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 54756 + 7744 = 234^2 + 88^2 .

It is a Duffinian number.

It is a nialpdrome in base 5.

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 6 ways as a sum of consecutive naturals, for example, 12498 + ... + 12502.

2⁶²⁵⁰⁰ is an apocalyptic number.

62500 is the 250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62500

62500 is an abundant number, since it is smaller than the sum of its proper divisors (74217).

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

62500 is an frugal number, since it uses more digits than its factorization.

62500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 62500 is about 39.6850262992.

The spelling of 62500 in words is "sixty-two thousand, five hundred".