1292805945 has 48 divisors (see below), whose sum is σ = 2304553680. Its totient is φ = 670146048.

The previous prime is 1292805889. The next prime is 1292805967. The reversal of 1292805945 is 5495082921.

It is a happy number.

1292805945 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 61638201 + 1231167744 = 7851^2 + 35088^2 .

It is not a de Polignac number, because 1292805945 - 2¹⁸ = 1292543801 is a prime.

It is a super-4 number, since 4×1292805945⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1292805945.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257479 + ... + 262451.

It is an arithmetic number, because the mean of its divisors is an integer number (48011535).

Almost surely, 2^1292805945 is an apocalyptic number.

1292805945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1292805945 is a deficient number, since it is larger than the sum of its proper divisors (1011747735).

1292805945 is a wasteful number, since it uses less digits than its factorization.

1292805945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1292805945 is about 35955.6107582669. The cubic root of 1292805945 is about 1089.3759424708.

The spelling of 1292805945 in words is "one billion, two hundred ninety-two million, eight hundred five thousand, nine hundred forty-five".