82457055 has 128 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 37324800.

The previous prime is 82457051. The next prime is 82457071. The reversal of 82457055 is 55075428.

It is a happy number.

82457055 is a `hidden beast` number, since 82 + 4 + 570 + 5 + 5 = 666.

It is not a de Polignac number, because 82457055 - 2² = 82457051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82457051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1351725 + ... + 1351785.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^82457055 is an apocalyptic number.

82457055 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82457055 is an abundant number, since it is smaller than the sum of its proper divisors (88960545).

82457055 is a wasteful number, since it uses less digits than its factorization.

82457055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 82457055 is about 9080.5867101196. The cubic root of 82457055 is about 435.2538352041.

The spelling of 82457055 in words is "eighty-two million, four hundred fifty-seven thousand, fifty-five".