83458564 has 72 divisors (see below), whose sum is σ = 181880160. Its totient is φ = 33312384.

The previous prime is 83458537. The next prime is 83458589. The reversal of 83458564 is 46585438.

It is a self number, because there is not a number n which added to its sum of digits gives 83458564.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 271699 + ... + 272005.

Almost surely, 2^83458564 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 83458564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90940080).

83458564 is an abundant number, since it is smaller than the sum of its proper divisors (98421596).

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

83458564 is a wasteful number, since it uses less digits than its factorization.

83458564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The square root of 83458564 is about 9135.5658828559. The cubic root of 83458564 is about 437.0089209866.

The spelling of 83458564 in words is "eighty-three million, four hundred fifty-eight thousand, five hundred sixty-four".