83010321 has 9 divisors (see below), whose sum is σ = 119943291. Its totient is φ = 55321992.

The previous prime is 83010313. The next prime is 83010341. The reversal of 83010321 is 12301038.

The square root of 83010321 is 9111.

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., 70308225 + 12702096 = 8385^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 83010321 - 2³ = 83010313 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83010294 and 83010303.

It is not an unprimeable number, because it can be changed into a prime (83010341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25815 + ... + 28851.

Almost surely, 2^83010321 is an apocalyptic number.

83010321 is the 9111-st square number.

83010321 is the 4556-th centered octagonal number.

It is an amenable number.

83010321 is a deficient number, since it is larger than the sum of its proper divisors (36932970).

83010321 is an frugal number, since it uses more digits than its factorization.

83010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 83010321 is about 436.2251470914.

Multiplying 83010321 by its product of nonzero digits (144), we get a square (11953486224 = 109332²).

Adding to 83010321 its reverse (12301038), we get a palindrome (95311359).

The spelling of 83010321 in words is "eighty-three million, ten thousand, three hundred twenty-one".