5312961 has 12 divisors (see below), whose sum is σ = 7707492. Its totient is φ = 3526656.

The previous prime is 5312953. The next prime is 5312963. The reversal of 5312961 is 1692135.

It can be written as a sum of positive squares in 2 ways, for example, as 4223025 + 1089936 = 2055^2 + 1044^2 .

It is not a de Polignac number, because 5312961 - 2³ = 5312953 is a prime.

5312961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5312963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 3461.

It is an arithmetic number, because the mean of its divisors is an integer number (642291).

Almost surely, 2^5312961 is an apocalyptic number.

It is an amenable number.

5312961 is a deficient number, since it is larger than the sum of its proper divisors (2394531).

5312961 is a wasteful number, since it uses less digits than its factorization.

5312961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2557 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 5312961 is about 2304.9861170949. The cubic root of 5312961 is about 174.4933481864.

The spelling of 5312961 in words is "five million, three hundred twelve thousand, nine hundred sixty-one".