752989 has 4 divisors (see below), whose sum is σ = 792640. Its totient is φ = 713340.

The previous prime is 752977. The next prime is 752993. The reversal of 752989 is 989257.

752989 = 190² + 191² + ... + 208².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 989257 = 157 ⋅6301.

It is a cyclic number.

It is not a de Polignac number, because 752989 - 2⁷ = 752861 is a prime.

It is a Duffinian number.

752989 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19797 + ... + 19834.

It is an arithmetic number, because the mean of its divisors is an integer number (198160).

2⁷⁵²⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

752989 is a deficient number, since it is larger than the sum of its proper divisors (39651).

752989 is a wasteful number, since it uses less digits than its factorization.

752989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39650.

The product of its digits is 45360, while the sum is 40.

The square root of 752989 is about 867.7493877843. The cubic root of 752989 is about 90.9765668440.

The spelling of 752989 in words is "seven hundred fifty-two thousand, nine hundred eighty-nine".