5968249 has 9 divisors (see below), whose sum is σ = 6962607. Its totient is φ = 5100984.

The previous prime is 5968231. The next prime is 5968253. The reversal of 5968249 is 9428695.

The square root of 5968249 is 2443.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4380649 + 1587600 = 2093^2 + 1260^2 .

It is not a de Polignac number, because 5968249 - 2⁵ = 5968217 is a prime.

It is a super-2 number, since 2×5968249² = 71239992252002, which contains 22 as substring.

It is a Duffinian number.

5968249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5968219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16927 + ... + 17275.

It is an arithmetic number, because the mean of its divisors is an integer number (773623).

Almost surely, 2^5968249 is an apocalyptic number.

5968249 is the 2443-rd square number.

5968249 is the 1222-nd centered octagonal number.

It is an amenable number.

5968249 is a deficient number, since it is larger than the sum of its proper divisors (994358).

5968249 is an frugal number, since it uses more digits than its factorization.

5968249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The cubic root of 5968249 is about 181.3909622406.

The spelling of 5968249 in words is "five million, nine hundred sixty-eight thousand, two hundred forty-nine".