10093329 has 15 divisors (see below), whose sum is σ = 15120523. Its totient is φ = 6709824.

The previous prime is 10093319. The next prime is 10093331. The reversal of 10093329 is 92339001.

The square root of 10093329 is 3177.

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., 4100625 + 5992704 = 2025^2 + 2448^2 .

It is not a de Polignac number, because 10093329 - 2¹⁹ = 9569041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10093309) 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, 28417 + ... + 28769.

Almost surely, 2^10093329 is an apocalyptic number.

10093329 is the 3177-th square number.

10093329 is the 1589-th centered octagonal number.

It is an amenable number.

10093329 is a deficient number, since it is larger than the sum of its proper divisors (5027194).

10093329 is an frugal number, since it uses more digits than its factorization.

10093329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The cubic root of 10093329 is about 216.1116321117. Note that the first 3 decimals are identical.

The spelling of 10093329 in words is "ten million, ninety-three thousand, three hundred twenty-nine".