1972457905 has 12 divisors (see below), whose sum is σ = 2601689076. Its totient is φ = 1434514400.

The previous prime is 1972457891. The next prime is 1972457923. The reversal of 1972457905 is 5097542791.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 923734449 + 1048723456 = 30393^2 + 32384^2 .

It is not a de Polignac number, because 1972457905 - 2⁵ = 1972457873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629526 + ... + 1630735.

It is an arithmetic number, because the mean of its divisors is an integer number (216807423).

Almost surely, 2^1972457905 is an apocalyptic number.

It is an amenable number.

1972457905 is a deficient number, since it is larger than the sum of its proper divisors (629231171).

1972457905 is a wasteful number, since it uses less digits than its factorization.

1972457905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260288 (or 3260277 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 49.

The square root of 1972457905 is about 44412.3620740892. The cubic root of 1972457905 is about 1254.1108191794.

The spelling of 1972457905 in words is "one billion, nine hundred seventy-two million, four hundred fifty-seven thousand, nine hundred five".