5961312 has 72 divisors (see below), whose sum is σ = 19380816. Its totient is φ = 1702656.

The previous prime is 5961311. The next prime is 5961313. The reversal of 5961312 is 2131695.

5961312 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5961311) and next prime (5961313).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5961312² = 71074481522688, which contains 22 as substring.

5961312 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961311) 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, 538 + ... + 3494.

It is an arithmetic number, because the mean of its divisors is an integer number (269178).

Almost surely, 2^5961312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690408).

5961312 is an abundant number, since it is smaller than the sum of its proper divisors (13419504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5961312 is a wasteful number, since it uses less digits than its factorization.

5961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2969 counting only the distinct ones).

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

The square root of 5961312 is about 2441.5798164303. The cubic root of 5961312 is about 181.3206570339.

The spelling of 5961312 in words is "five million, nine hundred sixty-one thousand, three hundred twelve".