83149605 has 128 divisors (see below), whose sum is σ = 194457600. Its totient is φ = 32659200.

The previous prime is 83149603. The next prime is 83149607. The reversal of 83149605 is 50694138.

83149605 is a `hidden beast` number, since 8 + 3 + 1 + 49 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (83149603) and next prime (83149607).

It is not a de Polignac number, because 83149605 - 2¹ = 83149603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83149605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83149603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197295 + ... + 197715.

It is an arithmetic number, because the mean of its divisors is an integer number (1519200).

Almost surely, 2^83149605 is an apocalyptic number.

It is an amenable number.

83149605 is an abundant number, since it is smaller than the sum of its proper divisors (111307995).

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

83149605 is a wasteful number, since it uses less digits than its factorization.

83149605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83149605 is about 9118.6405236746. The cubic root of 83149605 is about 436.4689932038.

The spelling of 83149605 in words is "eighty-three million, one hundred forty-nine thousand, six hundred five".