65625127 has 2 divisors, whose sum is σ = 65625128. Its totient is φ = 65625126.

The previous prime is 65625103. The next prime is 65625137. The reversal of 65625127 is 72152656.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 65625127 - 2¹¹ = 65623079 is a prime.

It is a super-2 number, since 2×65625127² = 8613314587532258, which contains 22 as substring.

It is equal to p_3875263 and since 65625127 and 3875263 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 65625092 and 65625101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65625137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32812563 + 32812564.

It is an arithmetic number, because the mean of its divisors is an integer number (32812564).

Almost surely, 2^65625127 is an apocalyptic number.

65625127 is a deficient number, since it is larger than the sum of its proper divisors (1).

65625127 is an equidigital number, since it uses as much as digits as its factorization.

65625127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25200, while the sum is 34.

The square root of 65625127 is about 8100.9337116162. The cubic root of 65625127 is about 403.3574217033.

The spelling of 65625127 in words is "sixty-five million, six hundred twenty-five thousand, one hundred twenty-seven".