3133607 has 2 divisors, whose sum is σ = 3133608. Its totient is φ = 3133606.

The previous prime is 3133597. The next prime is 3133609. The reversal of 3133607 is 7063313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3133607 - 2⁴ = 3133591 is a prime.

Together with 3133609, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₂₅₇₅₂ and since 3133607 and 225752 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566803 + 1566804.

It is an arithmetic number, because the mean of its divisors is an integer number (1566804).

Almost surely, 2^3133607 is an apocalyptic number.

3133607 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133607 is an equidigital number, since it uses as much as digits as its factorization.

3133607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 3133607 is about 1770.1997062479. The cubic root of 3133607 is about 146.3349879806.

The spelling of 3133607 in words is "three million, one hundred thirty-three thousand, six hundred seven".