82825440 has 48 divisors (see below), whose sum is σ = 260901648. Its totient is φ = 22086656.

The previous prime is 82825429. The next prime is 82825441. The reversal of 82825440 is 4452828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×82825440² = 13720107022387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82825441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85797 + ... + 86756.

It is an arithmetic number, because the mean of its divisors is an integer number (5435451).

Almost surely, 2^82825440 is an apocalyptic number.

82825440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82825440 is an abundant number, since it is smaller than the sum of its proper divisors (178076208).

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

82825440 is a wasteful number, since it uses less digits than its factorization.

82825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172571 (or 172563 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82825440 is about 9100.8483121081. The cubic root of 82825440 is about 435.9010520908.

The spelling of 82825440 in words is "eighty-two million, eight hundred twenty-five thousand, four hundred forty".