37663 has 2 divisors, whose sum is σ = 37664. Its totient is φ = 37662.

The previous prime is 37657. The next prime is 37691. The reversal of 37663 is 36673.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37663 is a prime.

It is a d-powerful number, because it can be written as 3³ + 7⁴ + 6⁵ + 6⁵ + 3⁹ .

37663 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18831 + 18832.

It is an arithmetic number, because the mean of its divisors is an integer number (18832).

2³⁷⁶⁶³ is an apocalyptic number.

37663 is a deficient number, since it is larger than the sum of its proper divisors (1).

37663 is an equidigital number, since it uses as much as digits as its factorization.

37663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 37663 is about 194.0695751528. The cubic root of 37663 is about 33.5200741051.

Subtracting from 37663 its reverse (36673), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 37 and 663, that multiplied together give a triangular number (24531 = T₂₂₁).

The spelling of 37663 in words is "thirty-seven thousand, six hundred sixty-three".