61000 has 32 divisors (see below), whose sum is σ = 145080. Its totient is φ = 24000.

The previous prime is 60961. The next prime is 61001. The reversal of 61000 is 16.

61000 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 4 ways, for example, as 4356 + 56644 = 66^2 + 238^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (61001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 1030.

2⁶¹⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

61000 is an abundant number, since it is smaller than the sum of its proper divisors (84080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61000 is a wasteful number, since it uses less digits than its factorization.

61000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 61000 is about 246.9817807046. The cubic root of 61000 is about 39.3649718310.

Adding to 61000 its reverse (16), we get a palindrome (61016).

The spelling of 61000 in words is "sixty-one thousand".