412637 has 2 divisors, whose sum is σ = 412638. Its totient is φ = 412636.

The previous prime is 412627. The next prime is 412639. The reversal of 412637 is 736214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 75076 = 581^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 412637 - 2¹⁰ = 411613 is a prime.

Together with 412639, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206318 + 206319.

It is an arithmetic number, because the mean of its divisors is an integer number (206319).

2⁴¹²⁶³⁷ is an apocalyptic number.

It is an amenable number.

412637 is a deficient number, since it is larger than the sum of its proper divisors (1).

412637 is an equidigital number, since it uses as much as digits as its factorization.

412637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 23.

The square root of 412637 is about 642.3682744345. The cubic root of 412637 is about 74.4485178006.

The spelling of 412637 in words is "four hundred twelve thousand, six hundred thirty-seven".