83355405 has 32 divisors (see below), whose sum is σ = 152779008. Its totient is φ = 38016000.

The previous prime is 83355397. The next prime is 83355409. The reversal of 83355405 is 50455338.

It is not a de Polignac number, because 83355405 - 2³ = 83355397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83355409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68805 + ... + 70005.

It is an arithmetic number, because the mean of its divisors is an integer number (4774344).

Almost surely, 2^83355405 is an apocalyptic number.

It is an amenable number.

83355405 is a deficient number, since it is larger than the sum of its proper divisors (69423603).

83355405 is a wasteful number, since it uses less digits than its factorization.

83355405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 83355405 is about 9129.9181266866. The cubic root of 83355405 is about 436.8287917177.

The spelling of 83355405 in words is "eighty-three million, three hundred fifty-five thousand, four hundred five".