10607 has 2 divisors, whose sum is σ = 10608. Its totient is φ = 10606.

The previous prime is 10601. The next prime is 10613. The reversal of 10607 is 70601.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10601) and next prime (10613).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-10607 is a prime.

It is a super-2 number, since 2×10607^{2} = 225016898, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 8.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10591 and 10600.

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 10607.

It is not a weakly prime, because it can be changed into another prime (10601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303 + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (5304).

2^{10607} is an apocalyptic number.

10607 is a deficient number, since it is larger than the sum of its proper divisors (1).

10607 is an equidigital number, since it uses as much as digits as its factorization.

10607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10607 is about 102.9902908045. The cubic root of 10607 is about 21.9717267657.

The spelling of 10607 in words is "ten thousand, six hundred seven".

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