1972105451 has 16 divisors (see below), whose sum is σ = 2117445120. Its totient is φ = 1830211200.

The previous prime is 1972105427. The next prime is 1972105463. The reversal of 1972105451 is 1545012791.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1972105451 - 2¹⁰ = 1972104427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1972101451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354050 + ... + 359576.

It is an arithmetic number, because the mean of its divisors is an integer number (132340320).

Almost surely, 2^1972105451 is an apocalyptic number.

1972105451 is a deficient number, since it is larger than the sum of its proper divisors (145339669).

1972105451 is a wasteful number, since it uses less digits than its factorization.

1972105451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834.

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 1972105451 is about 44408.3939250228. The cubic root of 1972105451 is about 1254.0361166633.

The spelling of 1972105451 in words is "one billion, nine hundred seventy-two million, one hundred five thousand, four hundred fifty-one".