83084901 has 32 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 50413440.

The previous prime is 83084863. The next prime is 83084917. The reversal of 83084901 is 10948038.

It is not a de Polignac number, because 83084901 - 2¹⁰ = 83083877 is a prime.

It is a super-3 number, since 3×83084901³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83084941) 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, 121306 + ... + 121988.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2^83084901 is an apocalyptic number.

It is an amenable number.

83084901 is a deficient number, since it is larger than the sum of its proper divisors (38262171).

83084901 is a wasteful number, since it uses less digits than its factorization.

83084901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83084901 is about 9115.0919359050. The cubic root of 83084901 is about 436.3557490565.

The spelling of 83084901 in words is "eighty-three million, eighty-four thousand, nine hundred one".