802628361 has 12 divisors (see below), whose sum is σ = 1227549492. Its totient is φ = 503609856.

The previous prime is 802628339. The next prime is 802628363. The reversal of 802628361 is 163826208.

It can be written as a sum of positive squares in 2 ways, for example, as 318408336 + 484220025 = 17844^2 + 22005^2 .

It is not a de Polignac number, because 802628361 - 2⁶ = 802628297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (802628363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622816 + ... + 2623121.

It is an arithmetic number, because the mean of its divisors is an integer number (102295791).

Almost surely, 2^802628361 is an apocalyptic number.

It is an amenable number.

802628361 is a deficient number, since it is larger than the sum of its proper divisors (424921131).

802628361 is a wasteful number, since it uses less digits than its factorization.

802628361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245960 (or 5245957 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 802628361 is about 28330.6964439634. The cubic root of 802628361 is about 929.3333029573. Note that the first 4 decimals are identical.

The spelling of 802628361 in words is "eight hundred two million, six hundred twenty-eight thousand, three hundred sixty-one".