229761 has 18 divisors (see below), whose sum is σ = 386802. Its totient is φ = 131040.

The previous prime is 229759. The next prime is 229763. The reversal of 229761 is 167922.

229761 = 43² + 44² + ... + 91².

It is an interprime number because it is at equal distance from previous prime (229759) and next prime (229763).

It can be written as a sum of positive squares in only one way, i.e., 176400 + 53361 = 420^2 + 231^2 .

It is not a de Polignac number, because 229761 - 2¹ = 229759 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (229763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 181 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (21489).

2²²⁹⁷⁶¹ is an apocalyptic number.

229761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

229761 is a deficient number, since it is larger than the sum of its proper divisors (157041).

229761 is a wasteful number, since it uses less digits than its factorization.

229761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 229761 is about 479.3339128416. Note that the first 3 decimals coincide. The cubic root of 229761 is about 61.2480271473.

It can be divided in two parts, 229 and 761, that added together give a triangular number (990 = T₄₄).

The spelling of 229761 in words is "two hundred twenty-nine thousand, seven hundred sixty-one".