1972749765 has 64 divisors (see below), whose sum is σ = 3810723840. Its totient is φ = 851316480.

The previous prime is 1972749763. The next prime is 1972749773. The reversal of 1972749765 is 5679472791.

It is a happy number.

It is not a de Polignac number, because 1972749765 - 2¹ = 1972749763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972749761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610855 + ... + 614075.

It is an arithmetic number, because the mean of its divisors is an integer number (59542560).

Almost surely, 2^1972749765 is an apocalyptic number.

1972749765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972749765 is a deficient number, since it is larger than the sum of its proper divisors (1837974075).

1972749765 is a wasteful number, since it uses less digits than its factorization.

1972749765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562.

The product of its digits is 6667920, while the sum is 57.

The square root of 1972749765 is about 44415.6477494137. The cubic root of 1972749765 is about 1254.1726720806.

The spelling of 1972749765 in words is "one billion, nine hundred seventy-two million, seven hundred forty-nine thousand, seven hundred sixty-five".