61331166 has 48 divisors (see below), whose sum is σ = 143707200. Its totient is φ = 18792000.

The previous prime is 61331161. The next prime is 61331167. The reversal of 61331166 is 66113316.

It is a happy number.

61331166 is a `hidden beast` number, since 613 + 31 + 16 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61331161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81291 + ... + 82041.

It is an arithmetic number, because the mean of its divisors is an integer number (2993900).

Almost surely, 2^61331166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61331166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71853600).

61331166 is an abundant number, since it is smaller than the sum of its proper divisors (82376034).

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

61331166 is a wasteful number, since it uses less digits than its factorization.

61331166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1118 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 61331166 is about 7831.4217100090. The cubic root of 61331166 is about 394.3608013671.

The spelling of 61331166 in words is "sixty-one million, three hundred thirty-one thousand, one hundred sixty-six".