233264529 has 15 divisors (see below), whose sum is σ = 348662347. Its totient is φ = 155418048.

The previous prime is 233264483. The next prime is 233264543. The reversal of 233264529 is 925462332.

It is a happy number.

The square root of 233264529 is 15273.

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

233264529 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 645 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224550225 + 8714304 = 14985^2 + 2952^2 .

It is a de Polignac number, because none of the positive numbers 2^k-233264529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233264493 and 233264502.

It is not an unprimeable number, because it can be changed into a prime (233264569) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 136609 + ... + 138305.

Almost surely, 2^233264529 is an apocalyptic number.

233264529 is the 15273-rd square number.

233264529 is the 7637-th centered octagonal number.

It is an amenable number.

233264529 is a deficient number, since it is larger than the sum of its proper divisors (115397818).

233264529 is an frugal number, since it uses more digits than its factorization.

233264529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 1700 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The cubic root of 233264529 is about 615.5777319442.

Multiplying 233264529 by its sum of digits (36), we get a square (8397523044 = 91638²).

The spelling of 233264529 in words is "two hundred thirty-three million, two hundred sixty-four thousand, five hundred twenty-nine".