527982345 has 48 divisors (see below), whose sum is σ = 1057110912. Its totient is φ = 240929280.

The previous prime is 527982313. The next prime is 527982347. The reversal of 527982345 is 543289725.

527982345 is a `hidden beast` number, since 527 + 9 + 82 + 3 + 45 = 666.

It is not a de Polignac number, because 527982345 - 2⁵ = 527982313 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 527982345.

It is not an unprimeable number, because it can be changed into a prime (527982347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22957 + ... + 39786.

It is an arithmetic number, because the mean of its divisors is an integer number (22023144).

Almost surely, 2^527982345 is an apocalyptic number.

527982345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527982345 is an abundant number, since it is smaller than the sum of its proper divisors (529128567).

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

527982345 is a wasteful number, since it uses less digits than its factorization.

527982345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62782 (or 62779 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 527982345 is about 22977.8664153137. The cubic root of 527982345 is about 808.2389954265.

The spelling of 527982345 in words is "five hundred twenty-seven million, nine hundred eighty-two thousand, three hundred forty-five".