1972085304 has 64 divisors (see below), whose sum is σ = 5644224000. Its totient is φ = 562483584.

The previous prime is 1972085299. The next prime is 1972085309. The reversal of 1972085304 is 4035802791.

It is an interprime number because it is at equal distance from previous prime (1972085299) and next prime (1972085309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972085309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90834 + ... + 110430.

It is an arithmetic number, because the mean of its divisors is an integer number (88191000).

Almost surely, 2^1972085304 is an apocalyptic number.

1972085304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1972085304 is an abundant number, since it is smaller than the sum of its proper divisors (3672138696).

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

1972085304 is a wasteful number, since it uses less digits than its factorization.

1972085304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1972085304 is about 44408.1670866970. The cubic root of 1972085304 is about 1254.0318462440.

The spelling of 1972085304 in words is "one billion, nine hundred seventy-two million, eighty-five thousand, three hundred four".