1957201 has 3 divisors (see below), whose sum is σ = 1958601. Its totient is φ = 1955802.

The previous prime is 1957187. The next prime is 1957243. The reversal of 1957201 is 1027591.

The square root of 1957201 is 1399.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 1957201 - 2¹⁷ = 1826129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1957301) 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 2 ways as a sum of consecutive naturals, for example, 700 + ... + 2098.

It is an arithmetic number, because the mean of its divisors is an integer number (652867).

2^1957201 is an apocalyptic number.

1957201 is the 1399-th square number.

1957201 is the 700-th centered octagonal number.

It is an amenable number.

1957201 is a deficient number, since it is larger than the sum of its proper divisors (1400).

1957201 is an frugal number, since it uses more digits than its factorization.

1957201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The cubic root of 1957201 is about 125.0868942478.

Multiplying 1957201 by its sum of digits (25), we get a square (48930025 = 6995²).

It can be divided in two parts, 195 and 7201, that added together give a square (7396 = 86²).

The spelling of 1957201 in words is "one million, nine hundred fifty-seven thousand, two hundred one".