1972905 has 24 divisors (see below), whose sum is σ = 3472896. Its totient is φ = 955680.

The previous prime is 1972891. The next prime is 1972913. The reversal of 1972905 is 5092791.

It is not a de Polignac number, because 1972905 - 2⁴ = 1972889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (144704).

2^1972905 is an apocalyptic number.

1972905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972905 is a deficient number, since it is larger than the sum of its proper divisors (1499991).

1972905 is a wasteful number, since it uses less digits than its factorization.

1972905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 1972905 is about 1404.6013669365. The cubic root of 1972905 is about 125.4205568023.

The spelling of 1972905 in words is "one million, nine hundred seventy-two thousand, nine hundred five".