1972839375 has 240 divisors, whose sum is σ = 4353481440. Its totient is φ = 874368000.

The previous prime is 1972839359. The next prime is 1972839377. The reversal of 1972839375 is 5739382791.

1972839375 is a `hidden beast` number, since 197 + 2 + 83 + 9 + 375 = 666.

It is not a de Polignac number, because 1972839375 - 2⁴ = 1972839359 is a prime.

Its product of digits (2857680) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972839377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85775614 + ... + 85775636.

It is an arithmetic number, because the mean of its divisors is an integer number (18139506).

Almost surely, 2^1972839375 is an apocalyptic number.

1972839375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1972839375 is an abundant number, since it is smaller than the sum of its proper divisors (2380642065).

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

1972839375 is a wasteful number, since it uses less digits than its factorization.

1972839375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 1972839375 is about 44416.6565040639. The cubic root of 1972839375 is about 1254.1916616003.

The spelling of 1972839375 in words is "one billion, nine hundred seventy-two million, eight hundred thirty-nine thousand, three hundred seventy-five".