312527 has 2 divisors, whose sum is σ = 312528. Its totient is φ = 312526.

The previous prime is 312517. The next prime is 312551. The reversal of 312527 is 725213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312527 - 2¹⁸ = 50383 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312499 and 312508.

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 312527.

It is not a weakly prime, because it can be changed into another prime (312517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156263 + 156264.

It is an arithmetic number, because the mean of its divisors is an integer number (156264).

2³¹²⁵²⁷ is an apocalyptic number.

312527 is a deficient number, since it is larger than the sum of its proper divisors (1).

312527 is an equidigital number, since it uses as much as digits as its factorization.

312527 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 312527 is about 559.0411433875. The cubic root of 312527 is about 67.8623947393.

Subtracting 312527 from its reverse (725213), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 312527 in words is "three hundred twelve thousand, five hundred twenty-seven".