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31189 is a prime number

31189 has 2 divisors, whose sum is σ = 31190. Its totient is φ = 31188.

The previous prime is 31183. The next prime is 31193. The reversal of 31189 is 98113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 11025 = 142^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 31189 - 23 = 31181 is a prime.

It is an Ulam number.

31189 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15594 + 15595.

It is an arithmetic number, because the mean of its divisors is an integer number (15595).

231189 is an apocalyptic number.

It is an amenable number.

31189 is a deficient number, since it is larger than the sum of its proper divisors (1).

31189 is an equidigital number, since it uses as much as digits as its factorization.

31189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 22.

The square root of 31189 is about 176.6040769631. The cubic root of 31189 is about 31.4775181819.

It can be divided in two parts, 311 and 89, that added together give a square (400 = 202).

The spelling of 31189 in words is "thirty-one thousand, one hundred eighty-nine".