1972319085 has 32 divisors (see below), whose sum is σ = 3825106560. Its totient is φ = 956275200.

The previous prime is 1972319057. The next prime is 1972319093. The reversal of 1972319085 is 5809132791.

It is not a de Polignac number, because 1972319085 - 2⁶ = 1972319021 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1972319085.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 662596 + ... + 665565.

It is an arithmetic number, because the mean of its divisors is an integer number (119534580).

Almost surely, 2^1972319085 is an apocalyptic number.

1972319085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972319085 is a deficient number, since it is larger than the sum of its proper divisors (1852787475).

1972319085 is a wasteful number, since it uses less digits than its factorization.

1972319085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328186 (or 1328180 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1972319085 is about 44410.7991934394. The cubic root of 1972319085 is about 1254.0813973857.

The spelling of 1972319085 in words is "one billion, nine hundred seventy-two million, three hundred nineteen thousand, eighty-five".