755973 has 28 divisors (see below), whose sum is σ = 1219788. Its totient is φ = 466560.

The previous prime is 755969. The next prime is 755977. The reversal of 755973 is 379557.

It is an interprime number because it is at equal distance from previous prime (755969) and next prime (755977).

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 492804 = 513^2 + 702^2 .

It is not a de Polignac number, because 755973 - 2² = 755969 is a prime.

It is a Curzon number.

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 755973.

It is not an unprimeable number, because it can be changed into a prime (755977) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12363 + ... + 12423.

755973 is a Friedman number, since it can be written as 9*((7^5-7)*5-3), using all its digits and the basic arithmetic operations.

2⁷⁵⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

755973 is a deficient number, since it is larger than the sum of its proper divisors (463815).

755973 is an equidigital number, since it uses as much as digits as its factorization.

755973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its digits is 33075, while the sum is 36.

The square root of 755973 is about 869.4670781576. The cubic root of 755973 is about 91.0965846473.

It can be divided in two parts, 755 and 973, that added together give a cube (1728 = 12³).

The spelling of 755973 in words is "seven hundred fifty-five thousand, nine hundred seventy-three".