61300 has 18 divisors (see below), whose sum is σ = 133238. Its totient is φ = 24480.

The previous prime is 61297. The next prime is 61331. The reversal of 61300 is 316.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 60516 = 28^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207 + ... + 406.

2⁶¹³⁰⁰ is an apocalyptic number.

It is an amenable number.

61300 is an abundant number, since it is smaller than the sum of its proper divisors (71938).

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

61300 is a wasteful number, since it uses less digits than its factorization.

61300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 61300 is about 247.5883680628. The cubic root of 61300 is about 39.4293990685.

Adding to 61300 its reverse (316), we get a palindrome (61616).

It can be divided in two parts, 61 and 300, that added together give a square (361 = 19²).

The spelling of 61300 in words is "sixty-one thousand, three hundred".