613007 has 2 divisors, whose sum is σ = 613008. Its totient is φ = 613006.

The previous prime is 612977. The next prime is 613009. The reversal of 613007 is 700316.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 613007 - 2⁸ = 612751 is a prime.

Together with 613009, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 9 and base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (613009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 306503 + 306504.

It is an arithmetic number, because the mean of its divisors is an integer number (306504).

2⁶¹³⁰⁰⁷ is an apocalyptic number.

613007 is a deficient number, since it is larger than the sum of its proper divisors (1).

613007 is an equidigital number, since it uses as much as digits as its factorization.

613007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 613007 is about 782.9476355415. The cubic root of 613007 is about 84.9483885067.

The spelling of 613007 in words is "six hundred thirteen thousand, seven".