735966 has 80 divisors (see below), whose sum is σ = 2090880. Its totient is φ = 187920.

The previous prime is 735953. The next prime is 735979. The reversal of 735966 is 669537.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (735953) and next prime (735979).

It is a self number, because there is not a number n which added to its sum of digits gives 735966.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735966.

It is an unprimeable number.

735966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 39 ways as a sum of consecutive naturals, for example, 12445 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2⁷³⁵⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440).

735966 is an abundant number, since it is smaller than the sum of its proper divisors (1354914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

735966 is a wasteful number, since it uses less digits than its factorization.

735966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 735966 is about 857.8846076251. The cubic root of 735966 is about 90.2857583968.

The spelling of 735966 in words is "seven hundred thirty-five thousand, nine hundred sixty-six".