82487152 has 60 divisors (see below), whose sum is σ = 177519888. Its totient is φ = 37100800.

The previous prime is 82487147. The next prime is 82487173. The reversal of 82487152 is 25178428.

It is a super-2 number, since 2×82487152² = 13608260490142208, which contains 22 as substring.

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, 265077 + ... + 265387.

Almost surely, 2^82487152 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 82487152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88759944).

82487152 is an abundant number, since it is smaller than the sum of its proper divisors (95032736).

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

82487152 is a wasteful number, since it uses less digits than its factorization.

82487152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its digits is 35840, while the sum is 37.

The square root of 82487152 is about 9082.2437756317. The cubic root of 82487152 is about 435.3067849534.

It can be divided in two parts, 8248 and 7152, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 82487152 in words is "eighty-two million, four hundred eighty-seven thousand, one hundred fifty-two".