37963 has 2 divisors, whose sum is σ = 37964. Its totient is φ = 37962.

The previous prime is 37957. The next prime is 37967. The reversal of 37963 is 36973.

It is a strong prime.

It is an emirp because it is prime and its reverse (36973) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37963 is a prime.

37963 is a lucky number.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (37967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18981 + 18982.

It is an arithmetic number, because the mean of its divisors is an integer number (18982).

2³⁷⁹⁶³ is an apocalyptic number.

37963 is a deficient number, since it is larger than the sum of its proper divisors (1).

37963 is an equidigital number, since it uses as much as digits as its factorization.

37963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 37963 is about 194.8409607860. The cubic root of 37963 is about 33.6088388500.

Subtracting from 37963 its reverse (36973), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 37 and 963, that added together give a cube (1000 = 10³).

The spelling of 37963 in words is "thirty-seven thousand, nine hundred sixty-three".