61588 has 12 divisors (see below), whose sum is σ = 109620. Its totient is φ = 30272.

The previous prime is 61583. The next prime is 61603. The reversal of 61588 is 88516.

It is a happy number.

61588 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 26244 = 188^2 + 162^2 .

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.

61588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 270 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (9135).

2⁶¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

61588 is a deficient number, since it is larger than the sum of its proper divisors (48032).

61588 is a wasteful number, since it uses less digits than its factorization.

61588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 61588 is about 248.1692970534. The cubic root of 61588 is about 39.4910517572.

Adding to 61588 its sum of digits (28), we get a palindrome (61616).

It can be divided in two parts, 615 and 88, that added together give a triangular number (703 = T₃₇).

The spelling of 61588 in words is "sixty-one thousand, five hundred eighty-eight".