82581564 has 48 divisors (see below), whose sum is σ = 208130048. Its totient is φ = 25334208.

The previous prime is 82581557. The next prime is 82581593. The reversal of 82581564 is 46518528.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75429 + ... + 76515.

Almost surely, 2^82581564 is an apocalyptic number.

It is an amenable number.

82581564 is an abundant number, since it is smaller than the sum of its proper divisors (125548484).

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

82581564 is a wasteful number, since it uses less digits than its factorization.

82581564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 82581564 is about 9087.4399035152. The cubic root of 82581564 is about 435.4728007643.

The spelling of 82581564 in words is "eighty-two million, five hundred eighty-one thousand, five hundred sixty-four".