233508961 has 27 divisors (see below), whose sum is σ = 283984659. Its totient is φ = 191440368.

The previous prime is 233508953. The next prime is 233508983. The reversal of 233508961 is 169805332.

The square root of 233508961 is 15281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 208947025 + 24561936 = 14455^2 + 4956^2 .

It is not a de Polignac number, because 233508961 - 2³ = 233508953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 233508961.

It is not an unprimeable number, because it can be changed into a prime (233508661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3957750 + ... + 3957808.

Almost surely, 2^233508961 is an apocalyptic number.

233508961 is the 15281-st square number.

233508961 is the 7641-st centered octagonal number.

It is an amenable number.

233508961 is a deficient number, since it is larger than the sum of its proper divisors (50475698).

233508961 is an frugal number, since it uses more digits than its factorization.

233508961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 233508961 is about 615.7926729964.

The spelling of 233508961 in words is "two hundred thirty-three million, five hundred eight thousand, nine hundred sixty-one".