752965 has 8 divisors (see below), whose sum is σ = 925848. Its totient is φ = 587520.

The previous prime is 752933. The next prime is 752977. The reversal of 752965 is 569257.

752965 = 115² + 116² + ... + 155².

It can be written as a sum of positive squares in 4 ways, for example, as 37249 + 715716 = 193^2 + 846^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 752965 - 2⁵ = 752933 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 752965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (115731).

2⁷⁵²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

752965 is a deficient number, since it is larger than the sum of its proper divisors (172883).

752965 is a wasteful number, since it uses less digits than its factorization.

752965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719.

The product of its digits is 18900, while the sum is 34.

The square root of 752965 is about 867.7355587966. The cubic root of 752965 is about 90.9756002691.

The spelling of 752965 in words is "seven hundred fifty-two thousand, nine hundred sixty-five".