1075774401 has 45 divisors (see below), whose sum is σ = 1742715039. Its totient is φ = 639186912.

The previous prime is 1075774373. The next prime is 1075774429. The reversal of 1075774401 is 1044775701.

The square root of 1075774401 is 32799.

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

It is an interprime number because it is at equal distance from previous prime (1075774373) and next prime (1075774429).

It can be written as a sum of positive squares in 7 ways, for example, as 877640625 + 198133776 = 29625^2 + 14076^2 .

It is not a de Polignac number, because 1075774401 - 2²³ = 1067385793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1075773401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37095655 + ... + 37095683.

Almost surely, 2^1075774401 is an apocalyptic number.

1075774401 is the 32799-th square number.

1075774401 is the 16400-th centered octagonal number.

It is an amenable number.

1075774401 is a deficient number, since it is larger than the sum of its proper divisors (666940638).

1075774401 is an frugal number, since it uses more digits than its factorization.

1075774401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The cubic root of 1075774401 is about 1024.6457315449.

Multiplying 1075774401 by its sum of digits (36), we get a square (38727878436 = 196794²).

It can be divided in two parts, 10757 and 74401, that added together give a palindrome (85158).

The spelling of 1075774401 in words is "one billion, seventy-five million, seven hundred seventy-four thousand, four hundred one".