61789 has 12 divisors (see below), whose sum is σ = 78204. Its totient is φ = 48384.

The previous prime is 61781. The next prime is 61813. The reversal of 61789 is 98716.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 44100 = 133^2 + 210^2 .

It is not a de Polignac number, because 61789 - 2³ = 61781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2⁶¹⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

61789 is a deficient number, since it is larger than the sum of its proper divisors (16415).

61789 is a wasteful number, since it uses less digits than its factorization.

61789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 61789 is about 248.5739326639. The cubic root of 61789 is about 39.5339664040.

The spelling of 61789 in words is "sixty-one thousand, seven hundred eighty-nine".