147997 has 2 divisors, whose sum is σ = 147998. Its totient is φ = 147996.

The previous prime is 147977. The next prime is 148013. The reversal of 147997 is 799741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143641 + 4356 = 379^2 + 66^2 .

It is an emirp because it is prime and its reverse (799741) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 147997 - 2¹¹ = 145949 is a prime.

It is a super-2 number, since 2×147997² = 43806224018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (147937) 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, 73998 + 73999.

It is an arithmetic number, because the mean of its divisors is an integer number (73999).

2¹⁴⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

147997 is a deficient number, since it is larger than the sum of its proper divisors (1).

147997 is an equidigital number, since it uses as much as digits as its factorization.

147997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 37.

The square root of 147997 is about 384.7037821493. The cubic root of 147997 is about 52.8953673210.

The spelling of 147997 in words is "one hundred forty-seven thousand, nine hundred ninety-seven".