83000001 has 32 divisors (see below), whose sum is σ = 138551040. Its totient is φ = 43094016.

The previous prime is 82999997. The next prime is 83000009. The reversal of 83000001 is 10000038.

It is not a de Polignac number, because 83000001 - 2² = 82999997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83000009) 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, 6345 + ... + 14361.

It is an arithmetic number, because the mean of its divisors is an integer number (4329720).

Almost surely, 2^83000001 is an apocalyptic number.

It is an amenable number.

83000001 is a deficient number, since it is larger than the sum of its proper divisors (55551039).

83000001 is a wasteful number, since it uses less digits than its factorization.

83000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 83000001 is about 9110.4336340264. The cubic root of 83000001 is about 436.2070688973.

Adding to 83000001 its reverse (10000038), we get a palindrome (93000039).

The spelling of 83000001 in words is "eighty-three million, one", and thus it is an aban number and an uban number.