137983 has 2 divisors, whose sum is σ = 137984. Its totient is φ = 137982.

The previous prime is 137957. The next prime is 137993. The reversal of 137983 is 389731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137983 - 2¹⁷ = 6911 is a prime.

137983 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68991 + 68992.

It is an arithmetic number, because the mean of its divisors is an integer number (68992).

2¹³⁷⁹⁸³ is an apocalyptic number.

137983 is a deficient number, since it is larger than the sum of its proper divisors (1).

137983 is an equidigital number, since it uses as much as digits as its factorization.

137983 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 137983 is about 371.4606304846. The cubic root of 137983 is about 51.6743704549.

The spelling of 137983 in words is "one hundred thirty-seven thousand, nine hundred eighty-three".