83145088 has 64 divisors (see below), whose sum is σ = 184640400. Its totient is φ = 37029888.

The previous prime is 83145071. The next prime is 83145107. The reversal of 83145088 is 88054138.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47395 + ... + 49117.

Almost surely, 2^83145088 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 83145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92320200).

83145088 is an abundant number, since it is smaller than the sum of its proper divisors (101495312).

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

83145088 is a wasteful number, since it uses less digits than its factorization.

83145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 83145088 is about 9118.3928408465. The cubic root of 83145088 is about 436.4610895136.

The spelling of 83145088 in words is "eighty-three million, one hundred forty-five thousand, eighty-eight".