83082607301 has 8 divisors (see below), whose sum is σ = 85375847160. Its totient is φ = 80791881408.

The previous prime is 83082607273. The next prime is 83082607319. The reversal of 83082607301 is 10370628038.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71070228100 + 12012379201 = 266590^2 + 109601^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 83082607301 - 2²² = 83078412997 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 (83082607351) 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, 561386 + ... + 693771.

It is an arithmetic number, because the mean of its divisors is an integer number (10671980895).

Almost surely, 2^83082607301 is an apocalyptic number.

It is an amenable number.

83082607301 is a deficient number, since it is larger than the sum of its proper divisors (2293239859).

83082607301 is a wasteful number, since it uses less digits than its factorization.

83082607301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256983.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 83082607301 in words is "eighty-three billion, eighty-two million, six hundred seven thousand, three hundred one".