82565040 has 40 divisors (see below), whose sum is σ = 255952368. Its totient is φ = 22017280.

The previous prime is 82565023. The next prime is 82565057. The reversal of 82565040 is 4056528.

It is an interprime number because it is at equal distance from previous prime (82565023) and next prime (82565057).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82564989 and 82565007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171771 + ... + 172250.

Almost surely, 2^82565040 is an apocalyptic number.

82565040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82565040 is an abundant number, since it is smaller than the sum of its proper divisors (173387328).

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

82565040 is a wasteful number, since it uses less digits than its factorization.

82565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344037 (or 344031 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 82565040 is about 9086.5306910834. The cubic root of 82565040 is about 435.4437537946.

The spelling of 82565040 in words is "eighty-two million, five hundred sixty-five thousand, forty".