62516 has 6 divisors (see below), whose sum is σ = 109410. Its totient is φ = 31256.

The previous prime is 62507. The next prime is 62533. The reversal of 62516 is 61526.

62516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 16 = 250^2 + 4^2 .

It is a sliding number, since 62516 = 16 + 62500 and 1/16 + 1/62500 = 0.062516.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62516.

It is an unprimeable number.

62516 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 as a sum of consecutive naturals, namely, 7811 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (18235).

2⁶²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

62516 is a deficient number, since it is larger than the sum of its proper divisors (46894).

62516 is a wasteful number, since it uses less digits than its factorization.

62516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15633 (or 15631 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 62516 is about 250.0319979523. The cubic root of 62516 is about 39.6884124658.

Subtracting from 62516 its reverse (61526), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 625 and 16, that multiplied together give a 4-th power (10000 = 10⁴).

The spelling of 62516 in words is "sixty-two thousand, five hundred sixteen".