688414007 has 2 divisors, whose sum is σ = 688414008. Its totient is φ = 688414006.

The previous prime is 688413991. The next prime is 688414049. The reversal of 688414007 is 700414886.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 688414007 - 2⁴ = 688413991 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688414087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344207003 + 344207004.

It is an arithmetic number, because the mean of its divisors is an integer number (344207004).

Almost surely, 2^688414007 is an apocalyptic number.

688414007 is a deficient number, since it is larger than the sum of its proper divisors (1).

688414007 is an equidigital number, since it uses as much as digits as its factorization.

688414007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 688414007 is about 26237.6448447646. The cubic root of 688414007 is about 882.9780334303.

The spelling of 688414007 in words is "six hundred eighty-eight million, four hundred fourteen thousand, seven".