83210001 has 32 divisors (see below), whose sum is σ = 129945600. Its totient is φ = 46381440.

The previous prime is 83209993. The next prime is 83210041. The reversal of 83210001 is 10001238.

It is a happy number.

It is not a de Polignac number, because 83210001 - 2³ = 83209993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83210041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295981 + ... + 296261.

It is an arithmetic number, because the mean of its divisors is an integer number (4060800).

Almost surely, 2^83210001 is an apocalyptic number.

It is an amenable number.

83210001 is a deficient number, since it is larger than the sum of its proper divisors (46735599).

83210001 is a wasteful number, since it uses less digits than its factorization.

83210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 83210001 is about 9121.9516003978. The cubic root of 83210001 is about 436.5746445432.

Adding to 83210001 its reverse (10001238), we get a palindrome (93211239).

The spelling of 83210001 in words is "eighty-three million, two hundred ten thousand, one".