1972135 has 16 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 1371040.

The previous prime is 1972133. The next prime is 1972147. The reversal of 1972135 is 5312791.

It is not a de Polignac number, because 1972135 - 2¹ = 1972133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486 + ... + 2044.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

2^1972135 is an apocalyptic number.

1972135 is a deficient number, since it is larger than the sum of its proper divisors (723545).

1972135 is a wasteful number, since it uses less digits than its factorization.

1972135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598.

The product of its digits is 1890, while the sum is 28.

The square root of 1972135 is about 1404.3272410660. The cubic root of 1972135 is about 125.4042379907.

Adding to 1972135 its product of digits (1890), we get a square (1974025 = 1405²).

It can be divided in two parts, 197 and 2135, that added together give a palindrome (2332).

The spelling of 1972135 in words is "one million, nine hundred seventy-two thousand, one hundred thirty-five".