83975808 has 96 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 23987712.

The previous prime is 83975803. The next prime is 83975813. The reversal of 83975808 is 80857938.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83975803) and next prime (83975813).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83975803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16585 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 2^83975808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

83975808 is an abundant number, since it is smaller than the sum of its proper divisors (175561152).

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

83975808 is a wasteful number, since it uses less digits than its factorization.

83975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 83975808 is about 9163.8315130736. The cubic root of 83975808 is about 437.9098665682.

The spelling of 83975808 in words is "eighty-three million, nine hundred seventy-five thousand, eight hundred eight".