82452576 has 96 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 26390016.

The previous prime is 82452569. The next prime is 82452583. The reversal of 82452576 is 67525428.

It is an interprime number because it is at equal distance from previous prime (82452569) and next prime (82452583).

It is a tau number, because it is divible by the number of its divisors (96).

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, 493645 + ... + 493811.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^82452576 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 82452576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613760).

82452576 is an abundant number, since it is smaller than the sum of its proper divisors (142774944).

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

82452576 is a wasteful number, since it uses less digits than its factorization.

82452576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 82452576 is about 9080.3400817370. The cubic root of 82452576 is about 435.2459541836.

It can be divided in two parts, 82452 and 576, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82452576 in words is "eighty-two million, four hundred fifty-two thousand, five hundred seventy-six".