1972561 has 16 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 1693440.

The previous prime is 1972541. The next prime is 1972567. The reversal of 1972561 is 1652791.

It is a cyclic number.

It is not a de Polignac number, because 1972561 - 2⁹ = 1972049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

1972561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1972567) 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, 9915 + ... + 10111.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

2^1972561 is an apocalyptic number.

It is an amenable number.

1972561 is a deficient number, since it is larger than the sum of its proper divisors (308399).

1972561 is a wasteful number, since it uses less digits than its factorization.

1972561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 3780, while the sum is 31.

The square root of 1972561 is about 1404.4789069260. The cubic root of 1972561 is about 125.4132668450.

The spelling of 1972561 in words is "one million, nine hundred seventy-two thousand, five hundred sixty-one".