62561 has 4 divisors (see below), whose sum is σ = 63492. Its totient is φ = 61632.

The previous prime is 62549. The next prime is 62563. The reversal of 62561 is 16526.

62561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16526 = 2 ⋅8263.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 14161 = 220^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 62561 - 2⁶ = 62497 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62561.

It is not an unprimeable number, because it can be changed into a prime (62563) 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, 356 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (15873).

2⁶²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

62561 is a deficient number, since it is larger than the sum of its proper divisors (931).

62561 is an equidigital number, since it uses as much as digits as its factorization.

62561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

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

The square root of 62561 is about 250.1219702465. The cubic root of 62561 is about 39.6979329630.

It can be divided in two parts, 625 and 61, that added together give a palindrome (686).

The spelling of 62561 in words is "sixty-two thousand, five hundred sixty-one".