82567485 has 192 divisors, whose sum is σ = 202383360. Its totient is φ = 31000320.

The previous prime is 82567469. The next prime is 82567501. The reversal of 82567485 is 58476528.

82567485 is a `hidden beast` number, since 8 + 2 + 567 + 4 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (82567469) and next prime (82567501).

It is not a de Polignac number, because 82567485 - 2⁴ = 82567469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (537600) is a multiple of the sum of its prime factors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 82567485.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1756732 + ... + 1756778.

It is an arithmetic number, because the mean of its divisors is an integer number (1054080).

Almost surely, 2^82567485 is an apocalyptic number.

It is an amenable number.

82567485 is an abundant number, since it is smaller than the sum of its proper divisors (119815875).

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

82567485 is a wasteful number, since it uses less digits than its factorization.

82567485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 82567485 is about 9086.6652298849. The cubic root of 82567485 is about 435.4480520201.

The spelling of 82567485 in words is "eighty-two million, five hundred sixty-seven thousand, four hundred eighty-five".