735731 has 2 divisors, whose sum is σ = 735732. Its totient is φ = 735730.

The previous prime is 735719. The next prime is 735733. The reversal of 735731 is 137537.

It is a strong prime.

It is an emirp because it is prime and its reverse (137537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 735731 - 2¹⁰ = 734707 is a prime.

It is a super-2 number, since 2×735731² = 1082600208722, which contains 22 as substring.

Together with 735733, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 735731.

It is not a weakly prime, because it can be changed into another prime (735733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 367865 + 367866.

It is an arithmetic number, because the mean of its divisors is an integer number (367866).

2⁷³⁵⁷³¹ is an apocalyptic number.

735731 is a deficient number, since it is larger than the sum of its proper divisors (1).

735731 is an equidigital number, since it uses as much as digits as its factorization.

735731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 26.

The square root of 735731 is about 857.7476318825. The cubic root of 735731 is about 90.2761477120.

The spelling of 735731 in words is "seven hundred thirty-five thousand, seven hundred thirty-one".