83212041 has 16 divisors (see below), whose sum is σ = 121814208. Its totient is φ = 50107200.

The previous prime is 83212037. The next prime is 83212069. The reversal of 83212041 is 14021238.

It is not a de Polignac number, because 83212041 - 2² = 83212037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83211999 and 83212017.

It is not an unprimeable number, because it can be changed into a prime (83212021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2850 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (7613388).

Almost surely, 2^83212041 is an apocalyptic number.

It is an amenable number.

83212041 is a deficient number, since it is larger than the sum of its proper divisors (38602167).

83212041 is a wasteful number, since it uses less digits than its factorization.

83212041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16232.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83212041 is about 9122.0634178896. The cubic root of 83212041 is about 436.5782122433.

Adding to 83212041 its reverse (14021238), we get a palindrome (97233279).

The spelling of 83212041 in words is "eighty-three million, two hundred twelve thousand, forty-one".