83355408 has 30 divisors (see below), whose sum is σ = 233279774. Its totient is φ = 27785088.

The previous prime is 83355397. The next prime is 83355409. The reversal of 83355408 is 80455338.

83355408 is a `hidden beast` number, since 83 + 35 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 10969344 = 8508^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289285 + ... + 289572.

Almost surely, 2^83355408 is an apocalyptic number.

It is an amenable number.

83355408 is an abundant number, since it is smaller than the sum of its proper divisors (149924366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83355408 is a wasteful number, since it uses less digits than its factorization.

83355408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578871 (or 578862 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 83355408 is about 9129.9182909816. The cubic root of 83355408 is about 436.8287969583.

The spelling of 83355408 in words is "eighty-three million, three hundred fifty-five thousand, four hundred eight".