61033986 has 80 divisors (see below), whose sum is σ = 149675064. Its totient is φ = 18475776.

The previous prime is 61033981. The next prime is 61033993. The reversal of 61033986 is 68933016.

It is a happy number.

61033986 is a `hidden beast` number, since 610 + 3 + 39 + 8 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48650625 + 12383361 = 6975^2 + 3519^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61033986.

It is not an unprimeable number, because it can be changed into a prime (61033981) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 153540 + ... + 153936.

Almost surely, 2^61033986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61033986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74837532).

61033986 is an abundant number, since it is smaller than the sum of its proper divisors (88641078).

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

61033986 is a wasteful number, since it uses less digits than its factorization.

61033986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61033986 is about 7812.4251036410. The cubic root of 61033986 is about 393.7228117281.

It can be divided in two parts, 610 and 33986, that added together give a square (34596 = 186²).

The spelling of 61033986 in words is "sixty-one million, thirty-three thousand, nine hundred eighty-six".