75997 has 2 divisors, whose sum is σ = 75998. Its totient is φ = 75996.

The previous prime is 75991. The next prime is 76001. The reversal of 75997 is 79957.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 12996 = 251^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 75997 - 2³ = 75989 is a prime.

It is a d-powerful number, because it can be written as 7 + 5³ + 9 + 9⁵ + 7⁵ .

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37998 + 37999.

It is an arithmetic number, because the mean of its divisors is an integer number (37999).

2⁷⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

75997 is a deficient number, since it is larger than the sum of its proper divisors (1).

75997 is an equidigital number, since it uses as much as digits as its factorization.

75997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 37.

The square root of 75997 is about 275.6755339162. The cubic root of 75997 is about 42.3576784900.

The spelling of 75997 in words is "seventy-five thousand, nine hundred ninety-seven".