153997 has 2 divisors, whose sum is σ = 153998. Its totient is φ = 153996.

The previous prime is 153991. The next prime is 154001. The reversal of 153997 is 799351.

153997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145161 + 8836 = 381^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 153997 - 2¹⁵ = 121229 is a prime.

153997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76998 + 76999.

It is an arithmetic number, because the mean of its divisors is an integer number (76999).

2¹⁵³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

153997 is a deficient number, since it is larger than the sum of its proper divisors (1).

153997 is an equidigital number, since it uses as much as digits as its factorization.

153997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 34.

The square root of 153997 is about 392.4245150344. The cubic root of 153997 is about 53.6007360484.

The spelling of 153997 in words is "one hundred fifty-three thousand, nine hundred ninety-seven".