1972575 has 36 divisors (see below), whose sum is σ = 3859128. Its totient is φ = 955200.

The previous prime is 1972571. The next prime is 1972583. The reversal of 1972575 is 5752791.

1972575 is a `hidden beast` number, since 19 + 72 + 575 = 666.

It is not a de Polignac number, because 1972575 - 2² = 1972571 is a prime.

1972575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972571) 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 35 ways as a sum of consecutive naturals, for example, 2077 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

2^1972575 is an apocalyptic number.

1972575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1972575 is a deficient number, since it is larger than the sum of its proper divisors (1886553).

1972575 is a wasteful number, since it uses less digits than its factorization.

1972575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 1972575 is about 1404.4838909721. The cubic root of 1972575 is about 125.4135635459.

It can be divided in two parts, 197 and 2575, that added together give a palindrome (2772).

The spelling of 1972575 in words is "one million, nine hundred seventy-two thousand, five hundred seventy-five".