1972705 has 16 divisors (see below), whose sum is σ = 2730240. Its totient is φ = 1340352.

The previous prime is 1972669. The next prime is 1972717. The reversal of 1972705 is 5072791.

It is a cyclic number.

It is not a de Polignac number, because 1972705 - 2¹⁵ = 1939937 is a prime.

It is an Ulam number.

1972705 is a lucky number.

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 15 ways as a sum of consecutive naturals, for example, 5316 + ... + 5674.

It is an arithmetic number, because the mean of its divisors is an integer number (170640).

2^1972705 is an apocalyptic number.

It is an amenable number.

1972705 is a deficient number, since it is larger than the sum of its proper divisors (757535).

1972705 is a wasteful number, since it uses less digits than its factorization.

1972705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 1972705 is about 1404.5301705553. The cubic root of 1972705 is about 125.4163185582.

The spelling of 1972705 in words is "one million, nine hundred seventy-two thousand, seven hundred five".