735997 has 2 divisors, whose sum is σ = 735998. Its totient is φ = 735996.

The previous prime is 735983. The next prime is 736007. The reversal of 735997 is 799537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383161 + 352836 = 619^2 + 594^2 .

It is a cyclic number.

It is not a de Polignac number, because 735997 - 2¹¹ = 733949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (735937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 367998 + 367999.

It is an arithmetic number, because the mean of its divisors is an integer number (367999).

2⁷³⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

735997 is a deficient number, since it is larger than the sum of its proper divisors (1).

735997 is an equidigital number, since it uses as much as digits as its factorization.

735997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 59535, while the sum is 40.

The square root of 735997 is about 857.9026751328. The cubic root of 735997 is about 90.2870260366.

The spelling of 735997 in words is "seven hundred thirty-five thousand, nine hundred ninety-seven".