31266 has 20 divisors (see below), whose sum is σ = 70422. Its totient is φ = 10368.

The previous prime is 31259. The next prime is 31267. The reversal of 31266 is 66213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 2025 = 171^2 + 45^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (31267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 66 + ... + 258.

2³¹²⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35211).

31266 is an abundant number, since it is smaller than the sum of its proper divisors (39156).

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

31266 is a wasteful number, since it uses less digits than its factorization.

31266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31266 is about 176.8219443395. The cubic root of 31266 is about 31.5034009933.

Adding to 31266 its reverse (66213), we get a palindrome (97479).

It can be divided in two parts, 312 and 66, that added together give a triangular number (378 = T₂₇).

The spelling of 31266 in words is "thirty-one thousand, two hundred sixty-six".