61589 has 6 divisors (see below), whose sum is σ = 67830. Its totient is φ = 55880.

The previous prime is 61583. The next prime is 61603. The reversal of 61589 is 98516.

61589 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., 58564 + 3025 = 242^2 + 55^2 .

It is not a de Polignac number, because 61589 - 2⁸ = 61333 is a prime.

It is a Duffinian number.

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 (61583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (11305).

2⁶¹⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

61589 is a deficient number, since it is larger than the sum of its proper divisors (6241).

61589 is a wasteful number, since it uses less digits than its factorization.

61589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 61589 is about 248.1713117989. The cubic root of 61589 is about 39.4912654938.

The spelling of 61589 in words is "sixty-one thousand, five hundred eighty-nine".