906312361 has 2 divisors, whose sum is σ = 906312362. Its totient is φ = 906312360.

The previous prime is 906312359. The next prime is 906312383. The reversal of 906312361 is 163213609.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 889172761 + 17139600 = 29819^2 + 4140^2 .

It is a cyclic number.

It is not a de Polignac number, because 906312361 - 2¹ = 906312359 is a prime.

It is a super-3 number, since 3×906312361³ (a number of 28 digits) contains 333 as substring.

Together with 906312359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (906312061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453156180 + 453156181.

It is an arithmetic number, because the mean of its divisors is an integer number (453156181).

Almost surely, 2^906312361 is an apocalyptic number.

It is an amenable number.

906312361 is a deficient number, since it is larger than the sum of its proper divisors (1).

906312361 is an equidigital number, since it uses as much as digits as its factorization.

906312361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 906312361 is about 30105.0221889970. The cubic root of 906312361 is about 967.7413565893.

The spelling of 906312361 in words is "nine hundred six million, three hundred twelve thousand, three hundred sixty-one".