229957 has 18 divisors (see below), whose sum is σ = 304038. Its totient is φ = 172368.

The previous prime is 229949. The next prime is 229961. The reversal of 229957 is 759922.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 70756 = 399^2 + 266^2 .

It is not a de Polignac number, because 229957 - 2³ = 229949 is a prime.

229957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229937) 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 17 ways as a sum of consecutive naturals, for example, 12094 + ... + 12112.

It is an arithmetic number, because the mean of its divisors is an integer number (16891).

2²²⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

229957 is a deficient number, since it is larger than the sum of its proper divisors (74081).

229957 is a wasteful number, since it uses less digits than its factorization.

229957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 229957 is about 479.5383196367. The cubic root of 229957 is about 61.2654382853.

The spelling of 229957 in words is "two hundred twenty-nine thousand, nine hundred fifty-seven".