1073946825 has 72 divisors (see below), whose sum is σ = 2252105856. Its totient is φ = 478944000.

The previous prime is 1073946817. The next prime is 1073946827. The reversal of 1073946825 is 5286493701.

1073946825 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1073946825 - 2³ = 1073946817 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

1073946825 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1073946827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56260 + ... + 72890.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1073946825 = 2147893650, but 3⋅1073946825 = 3221840475 is not.

Almost surely, 2^1073946825 is an apocalyptic number.

1073946825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1073946825 is an abundant number, since it is smaller than the sum of its proper divisors (1178159031).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1073946825 is a wasteful number, since it uses less digits than its factorization.

1073946825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16687 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1073946825 is about 32771.1279177266. The cubic root of 1073946825 is about 1024.0651639159.

The spelling of 1073946825 in words is "one billion, seventy-three million, nine hundred forty-six thousand, eight hundred twenty-five".