31066 has 12 divisors (see below), whose sum is σ = 54378. Its totient is φ = 13272.

The previous prime is 31063. The next prime is 31069. The reversal of 31066 is 66013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31063) and next prime (31069).

It can be written as a sum of positive squares in only one way, i.e., 30625 + 441 = 175^2 + 21^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (31063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61 + ... + 256.

2³¹⁰⁶⁶ is an apocalyptic number.

31066 is a deficient number, since it is larger than the sum of its proper divisors (23312).

31066 is a wasteful number, since it uses less digits than its factorization.

31066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 31066 is about 176.2554963682. The cubic root of 31066 is about 31.4360843904.

Adding to 31066 its reverse (66013), we get a palindrome (97079).

The spelling of 31066 in words is "thirty-one thousand, sixty-six".