83005311 has 8 divisors (see below), whose sum is σ = 110811520. Its totient is φ = 55267992.

The previous prime is 83005309. The next prime is 83005313. The reversal of 83005311 is 11350038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83005309) and next prime (83005313).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83005311 - 2¹ = 83005309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83005313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14341 + ... + 19278.

It is an arithmetic number, because the mean of its divisors is an integer number (13851440).

Almost surely, 2^83005311 is an apocalyptic number.

83005311 is a deficient number, since it is larger than the sum of its proper divisors (27806209).

83005311 is a wasteful number, since it uses less digits than its factorization.

83005311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34445.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 83005311 is about 9110.7250534741. The cubic root of 83005311 is about 436.2163709460.

Adding to 83005311 its reverse (11350038), we get a palindrome (94355349).

The spelling of 83005311 in words is "eighty-three million, five thousand, three hundred eleven".