813407147 has 16 divisors (see below), whose sum is σ = 944102400. Its totient is φ = 686387520.

The previous prime is 813407131. The next prime is 813407183. The reversal of 813407147 is 741704318.

It is not a de Polignac number, because 813407147 - 2⁴ = 813407131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813407117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207647 + ... + 211527.

It is an arithmetic number, because the mean of its divisors is an integer number (59006400).

Almost surely, 2^813407147 is an apocalyptic number.

813407147 is a deficient number, since it is larger than the sum of its proper divisors (130695253).

813407147 is a wasteful number, since it uses less digits than its factorization.

813407147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 813407147 is about 28520.2935994705. The cubic root of 813407147 is about 933.4749355591.

The spelling of 813407147 in words is "eight hundred thirteen million, four hundred seven thousand, one hundred forty-seven".