505607 has 2 divisors, whose sum is σ = 505608. Its totient is φ = 505606.

The previous prime is 505601. The next prime is 505613. The reversal of 505607 is 706505.

It is a balanced prime because it is at equal distance from previous prime (505601) and next prime (505613).

It is a cyclic number.

It is not a de Polignac number, because 505607 - 2¹² = 501511 is a prime.

It is equal to p₄₁₉₆₃ and since 505607 and 41963 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505607.

It is not a weakly prime, because it can be changed into another prime (505601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252803 + 252804.

It is an arithmetic number, because the mean of its divisors is an integer number (252804).

2⁵⁰⁵⁶⁰⁷ is an apocalyptic number.

505607 is a deficient number, since it is larger than the sum of its proper divisors (1).

505607 is an equidigital number, since it uses as much as digits as its factorization.

505607 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 505607 is about 711.0604756278. The cubic root of 505607 is about 79.6656357034.

The spelling of 505607 in words is "five hundred five thousand, six hundred seven".