137633 has 2 divisors, whose sum is σ = 137634. Its totient is φ = 137632.

The previous prime is 137623. The next prime is 137639. The reversal of 137633 is 336731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 2209 = 368^2 + 47^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137633 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 1 + 3 + 6³ + 7⁶ + 3⁴ + 3⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 137599 and 137608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137639) 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, 68816 + 68817.

It is an arithmetic number, because the mean of its divisors is an integer number (68817).

2¹³⁷⁶³³ is an apocalyptic number.

It is an amenable number.

137633 is a deficient number, since it is larger than the sum of its proper divisors (1).

137633 is an equidigital number, since it uses as much as digits as its factorization.

137633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 23.

The square root of 137633 is about 370.9892181722. The cubic root of 137633 is about 51.6306420168.

The spelling of 137633 in words is "one hundred thirty-seven thousand, six hundred thirty-three".