40637 has 2 divisors, whose sum is σ = 40638. Its totient is φ = 40636.

The previous prime is 40627. The next prime is 40639. The reversal of 40637 is 73604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21316 + 19321 = 146^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 40637 - 2¹² = 36541 is a prime.

Together with 40639, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₄₂₅₉ and since 40637 and 4259 have the same sum of digits, it is a Honaker prime.

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 40637.

It is not a weakly prime, because it can be changed into another prime (40639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20318 + 20319.

It is an arithmetic number, because the mean of its divisors is an integer number (20319).

2⁴⁰⁶³⁷ is an apocalyptic number.

It is an amenable number.

40637 is a deficient number, since it is larger than the sum of its proper divisors (1).

40637 is an equidigital number, since it uses as much as digits as its factorization.

40637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 40637 is about 201.5862098458. The cubic root of 40637 is about 34.3801061285.

It can be divided in two parts, 4063 and 7, that multiplied together give a triangular number (28441 = T₂₃₈).

The spelling of 40637 in words is "forty thousand, six hundred thirty-seven".