82541520 has 60 divisors (see below), whose sum is σ = 277204356. Its totient is φ = 22010880.

The previous prime is 82541507. The next prime is 82541551. The reversal of 82541520 is 2514528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 34433424 = 6936^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56601 + ... + 58040.

Almost surely, 2^82541520 is an apocalyptic number.

82541520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82541520 is an abundant number, since it is smaller than the sum of its proper divisors (194662836).

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

82541520 is a wasteful number, since it uses less digits than its factorization.

82541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114660 (or 114651 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82541520 is about 9085.2363755711. The cubic root of 82541520 is about 435.4024021130.

The spelling of 82541520 in words is "eighty-two million, five hundred forty-one thousand, five hundred twenty".