753966 has 12 divisors (see below), whose sum is σ = 1633632. Its totient is φ = 251316.

The previous prime is 753959. The next prime is 753979. The reversal of 753966 is 669357.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 753966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20926 + ... + 20961.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

2⁷⁵³⁹⁶⁶ is an apocalyptic number.

753966 is an abundant number, since it is smaller than the sum of its proper divisors (879666).

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

753966 is a wasteful number, since it uses less digits than its factorization.

753966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41895 (or 41892 counting only the distinct ones).

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

The square root of 753966 is about 868.3121558518. The cubic root of 753966 is about 91.0158970738.

The spelling of 753966 in words is "seven hundred fifty-three thousand, nine hundred sixty-six".