137963 has 4 divisors (see below), whose sum is σ = 157680. Its totient is φ = 118248.

The previous prime is 137957. The next prime is 137983. The reversal of 137963 is 369731.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 137963 - 2⁴ = 137947 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137963.

It is not an unprimeable number, because it can be changed into a prime (137933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9848 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (39420).

2¹³⁷⁹⁶³ is an apocalyptic number.

137963 is a deficient number, since it is larger than the sum of its proper divisors (19717).

137963 is an equidigital number, since it uses as much as digits as its factorization.

137963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19716.

The product of its digits is 3402, while the sum is 29.

The square root of 137963 is about 371.4337087557. The cubic root of 137963 is about 51.6718736803.

The spelling of 137963 in words is "one hundred thirty-seven thousand, nine hundred sixty-three".